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Finding the Third Proportional to 5,264 and 8,488

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Solution

The third proportional to 5,264 and 8,488 is: 13,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264 : 8,488 = 8,488 : x
  2. Step 2: Convert to fraction form
    5,264/8,488 = 8,488/x
  3. Step 3: Cross multiply
    5,264x = 8,488 × 8,488
  4. Step 4: Simplify right side
    5,264x = 72,046,144
  5. Step 5: Solve for x
    x = 72,046,144/5,264
  6. Step 6: Final answer
    x = 13,686.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.