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Finding the Third Proportional to 7,454 and 8,588

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Solution

The third proportional to 7,454 and 8,588 is: 9,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454 : 8,588 = 8,588 : x
  2. Step 2: Convert to fraction form
    7,454/8,588 = 8,588/x
  3. Step 3: Cross multiply
    7,454x = 8,588 × 8,588
  4. Step 4: Simplify right side
    7,454x = 73,753,744
  5. Step 5: Solve for x
    x = 73,753,744/7,454
  6. Step 6: Final answer
    x = 9,894.52

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.