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Finding the Third Proportional to 14,887 and 32,750

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Solution

The third proportional to 14,887 and 32,750 is: 72,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887 : 32,750 = 32,750 : x
  2. Step 2: Convert to fraction form
    14,887/32,750 = 32,750/x
  3. Step 3: Cross multiply
    14,887x = 32,750 × 32,750
  4. Step 4: Simplify right side
    14,887x = 1,072,562,500
  5. Step 5: Solve for x
    x = 1,072,562,500/14,887
  6. Step 6: Final answer
    x = 72,046.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.