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Finding the Third Proportional to 10,085.50 and 14,687

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Solution

The third proportional to 10,085.50 and 14,687 is: 21,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.50 : 14,687 = 14,687 : x
  2. Step 2: Convert to fraction form
    10,085.50/14,687 = 14,687/x
  3. Step 3: Cross multiply
    10,085.50x = 14,687 × 14,687
  4. Step 4: Simplify right side
    10,085.50x = 215,707,969
  5. Step 5: Solve for x
    x = 215,707,969/10,085.50
  6. Step 6: Final answer
    x = 21,387.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.