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Finding the Third Proportional to 8,937 and 14,113.50

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Solution

The third proportional to 8,937 and 14,113.50 is: 22,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937 : 14,113.50 = 14,113.50 : x
  2. Step 2: Convert to fraction form
    8,937/14,113.50 = 14,113.50/x
  3. Step 3: Cross multiply
    8,937x = 14,113.50 × 14,113.50
  4. Step 4: Simplify right side
    8,937x = 199,190,882.25
  5. Step 5: Solve for x
    x = 199,190,882.25/8,937
  6. Step 6: Final answer
    x = 22,288.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.