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Finding the Third Proportional to 10,486.13 and 15,586.88

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Solution

The third proportional to 10,486.13 and 15,586.88 is: 23,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.13 : 15,586.88 = 15,586.88 : x
  2. Step 2: Convert to fraction form
    10,486.13/15,586.88 = 15,586.88/x
  3. Step 3: Cross multiply
    10,486.13x = 15,586.88 × 15,586.88
  4. Step 4: Simplify right side
    10,486.13x = 242,950,672.27
  5. Step 5: Solve for x
    x = 242,950,672.27/10,486.13
  6. Step 6: Final answer
    x = 23,168.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.