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Finding the Third Proportional to 29,701.69 and 64,081.13

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Solution

The third proportional to 29,701.69 and 64,081.13 is: 138,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,701.69 : 64,081.13 = 64,081.13 : x
  2. Step 2: Convert to fraction form
    29,701.69/64,081.13 = 64,081.13/x
  3. Step 3: Cross multiply
    29,701.69x = 64,081.13 × 64,081.13
  4. Step 4: Simplify right side
    29,701.69x = 4,106,390,581.27
  5. Step 5: Solve for x
    x = 4,106,390,581.27/29,701.69
  6. Step 6: Final answer
    x = 138,254.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.