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Finding the Third Proportional to 10,687 and 14,263.50

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Solution

The third proportional to 10,687 and 14,263.50 is: 19,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687 : 14,263.50 = 14,263.50 : x
  2. Step 2: Convert to fraction form
    10,687/14,263.50 = 14,263.50/x
  3. Step 3: Cross multiply
    10,687x = 14,263.50 × 14,263.50
  4. Step 4: Simplify right side
    10,687x = 203,447,432.25
  5. Step 5: Solve for x
    x = 203,447,432.25/10,687
  6. Step 6: Final answer
    x = 19,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.