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Finding the Third Proportional to 15,522 and 21,425.25

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Solution

The third proportional to 15,522 and 21,425.25 is: 29,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522 : 21,425.25 = 21,425.25 : x
  2. Step 2: Convert to fraction form
    15,522/21,425.25 = 21,425.25/x
  3. Step 3: Cross multiply
    15,522x = 21,425.25 × 21,425.25
  4. Step 4: Simplify right side
    15,522x = 459,041,337.56
  5. Step 5: Solve for x
    x = 459,041,337.56/15,522
  6. Step 6: Final answer
    x = 29,573.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.