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Finding the Third Proportional to 16,336.13 and 35,784.84

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Solution

The third proportional to 16,336.13 and 35,784.84 is: 78,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.13 : 35,784.84 = 35,784.84 : x
  2. Step 2: Convert to fraction form
    16,336.13/35,784.84 = 35,784.84/x
  3. Step 3: Cross multiply
    16,336.13x = 35,784.84 × 35,784.84
  4. Step 4: Simplify right side
    16,336.13x = 1,280,555,042.21
  5. Step 5: Solve for x
    x = 1,280,555,042.21/16,336.13
  6. Step 6: Final answer
    x = 78,387.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.