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Finding the Third Proportional to 5,024 and 5,389

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Solution

The third proportional to 5,024 and 5,389 is: 5,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024 : 5,389 = 5,389 : x
  2. Step 2: Convert to fraction form
    5,024/5,389 = 5,389/x
  3. Step 3: Cross multiply
    5,024x = 5,389 × 5,389
  4. Step 4: Simplify right side
    5,024x = 29,041,321
  5. Step 5: Solve for x
    x = 29,041,321/5,024
  6. Step 6: Final answer
    x = 5,780.52

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.