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Finding the Third Proportional to 12,141 and 29,531.25

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Solution

The third proportional to 12,141 and 29,531.25 is: 71,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 29,531.25 = 29,531.25 : x
  2. Step 2: Convert to fraction form
    12,141/29,531.25 = 29,531.25/x
  3. Step 3: Cross multiply
    12,141x = 29,531.25 × 29,531.25
  4. Step 4: Simplify right side
    12,141x = 872,094,726.56
  5. Step 5: Solve for x
    x = 872,094,726.56/12,141
  6. Step 6: Final answer
    x = 71,830.55

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.