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Finding the Third Proportional to 5,748 and 8,789

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Solution

The third proportional to 5,748 and 8,789 is: 13,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 8,789 = 8,789 : x
  2. Step 2: Convert to fraction form
    5,748/8,789 = 8,789/x
  3. Step 3: Cross multiply
    5,748x = 8,789 × 8,789
  4. Step 4: Simplify right side
    5,748x = 77,246,521
  5. Step 5: Solve for x
    x = 77,246,521/5,748
  6. Step 6: Final answer
    x = 13,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.