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Finding the Third Proportional to 8,664.97 and 18,681.07

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Solution

The third proportional to 8,664.97 and 18,681.07 is: 40,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.97 : 18,681.07 = 18,681.07 : x
  2. Step 2: Convert to fraction form
    8,664.97/18,681.07 = 18,681.07/x
  3. Step 3: Cross multiply
    8,664.97x = 18,681.07 × 18,681.07
  4. Step 4: Simplify right side
    8,664.97x = 348,982,374.34
  5. Step 5: Solve for x
    x = 348,982,374.34/8,664.97
  6. Step 6: Final answer
    x = 40,275.07

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