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Finding the Third Proportional to 14,310 and 30,736.13

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Solution

The third proportional to 14,310 and 30,736.13 is: 66,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 30,736.13 = 30,736.13 : x
  2. Step 2: Convert to fraction form
    14,310/30,736.13 = 30,736.13/x
  3. Step 3: Cross multiply
    14,310x = 30,736.13 × 30,736.13
  4. Step 4: Simplify right side
    14,310x = 944,709,380.02
  5. Step 5: Solve for x
    x = 944,709,380.02/14,310
  6. Step 6: Final answer
    x = 66,017.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.