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Finding the Third Proportional to 15,586.88 and 32,092.88

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Solution

The third proportional to 15,586.88 and 32,092.88 is: 66,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.88 : 32,092.88 = 32,092.88 : x
  2. Step 2: Convert to fraction form
    15,586.88/32,092.88 = 32,092.88/x
  3. Step 3: Cross multiply
    15,586.88x = 32,092.88 × 32,092.88
  4. Step 4: Simplify right side
    15,586.88x = 1,029,952,625.77
  5. Step 5: Solve for x
    x = 1,029,952,625.77/15,586.88
  6. Step 6: Final answer
    x = 66,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.