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Finding the Third Proportional to 15,145.31 and 21,679.45

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Solution

The third proportional to 15,145.31 and 21,679.45 is: 31,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.31 : 21,679.45 = 21,679.45 : x
  2. Step 2: Convert to fraction form
    15,145.31/21,679.45 = 21,679.45/x
  3. Step 3: Cross multiply
    15,145.31x = 21,679.45 × 21,679.45
  4. Step 4: Simplify right side
    15,145.31x = 469,998,687.80
  5. Step 5: Solve for x
    x = 469,998,687.80/15,145.31
  6. Step 6: Final answer
    x = 31,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.