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Finding the Third Proportional to 14,528 and 25,624

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Solution

The third proportional to 14,528 and 25,624 is: 45,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 25,624 = 25,624 : x
  2. Step 2: Convert to fraction form
    14,528/25,624 = 25,624/x
  3. Step 3: Cross multiply
    14,528x = 25,624 × 25,624
  4. Step 4: Simplify right side
    14,528x = 656,589,376
  5. Step 5: Solve for x
    x = 656,589,376/14,528
  6. Step 6: Final answer
    x = 45,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.