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Finding the Third Proportional to 9,487.13 and 13,664.53

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Solution

The third proportional to 9,487.13 and 13,664.53 is: 19,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.13 : 13,664.53 = 13,664.53 : x
  2. Step 2: Convert to fraction form
    9,487.13/13,664.53 = 13,664.53/x
  3. Step 3: Cross multiply
    9,487.13x = 13,664.53 × 13,664.53
  4. Step 4: Simplify right side
    9,487.13x = 186,719,414.28
  5. Step 5: Solve for x
    x = 186,719,414.28/9,487.13
  6. Step 6: Final answer
    x = 19,681.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.