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Finding the Third Proportional to 14,024 and 28,750

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Solution

The third proportional to 14,024 and 28,750 is: 58,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 28,750 = 28,750 : x
  2. Step 2: Convert to fraction form
    14,024/28,750 = 28,750/x
  3. Step 3: Cross multiply
    14,024x = 28,750 × 28,750
  4. Step 4: Simplify right side
    14,024x = 826,562,500
  5. Step 5: Solve for x
    x = 826,562,500/14,024
  6. Step 6: Final answer
    x = 58,939.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.