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Finding the Third Proportional to 14,577.47 and 21,862.41

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Solution

The third proportional to 14,577.47 and 21,862.41 is: 32,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.47 : 21,862.41 = 21,862.41 : x
  2. Step 2: Convert to fraction form
    14,577.47/21,862.41 = 21,862.41/x
  3. Step 3: Cross multiply
    14,577.47x = 21,862.41 × 21,862.41
  4. Step 4: Simplify right side
    14,577.47x = 477,964,807.04
  5. Step 5: Solve for x
    x = 477,964,807.04/14,577.47
  6. Step 6: Final answer
    x = 32,787.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.