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Finding the Third Proportional to 6,786 and 16,345.13

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Solution

The third proportional to 6,786 and 16,345.13 is: 39,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 16,345.13 = 16,345.13 : x
  2. Step 2: Convert to fraction form
    6,786/16,345.13 = 16,345.13/x
  3. Step 3: Cross multiply
    6,786x = 16,345.13 × 16,345.13
  4. Step 4: Simplify right side
    6,786x = 267,163,111.27
  5. Step 5: Solve for x
    x = 267,163,111.27/6,786
  6. Step 6: Final answer
    x = 39,369.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.