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Finding the Third Proportional to 40,312.69 and 86,275.13

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Solution

The third proportional to 40,312.69 and 86,275.13 is: 184,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,312.69 : 86,275.13 = 86,275.13 : x
  2. Step 2: Convert to fraction form
    40,312.69/86,275.13 = 86,275.13/x
  3. Step 3: Cross multiply
    40,312.69x = 86,275.13 × 86,275.13
  4. Step 4: Simplify right side
    40,312.69x = 7,443,397,193.77
  5. Step 5: Solve for x
    x = 7,443,397,193.77/40,312.69
  6. Step 6: Final answer
    x = 184,641.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.