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Finding the Third Proportional to 13,547.25 and 29,387.81

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Solution

The third proportional to 13,547.25 and 29,387.81 is: 63,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.25 : 29,387.81 = 29,387.81 : x
  2. Step 2: Convert to fraction form
    13,547.25/29,387.81 = 29,387.81/x
  3. Step 3: Cross multiply
    13,547.25x = 29,387.81 × 29,387.81
  4. Step 4: Simplify right side
    13,547.25x = 863,643,523.54
  5. Step 5: Solve for x
    x = 863,643,523.54/13,547.25
  6. Step 6: Final answer
    x = 63,750.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.