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Finding the Third Proportional to 13,807.13 and 32,734.13

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Solution

The third proportional to 13,807.13 and 32,734.13 is: 77,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.13 : 32,734.13 = 32,734.13 : x
  2. Step 2: Convert to fraction form
    13,807.13/32,734.13 = 32,734.13/x
  3. Step 3: Cross multiply
    13,807.13x = 32,734.13 × 32,734.13
  4. Step 4: Simplify right side
    13,807.13x = 1,071,522,939.52
  5. Step 5: Solve for x
    x = 1,071,522,939.52/13,807.13
  6. Step 6: Final answer
    x = 77,606.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.