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Finding the Third Proportional to 5,748 and 8,902

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Solution

The third proportional to 5,748 and 8,902 is: 13,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 8,902 = 8,902 : x
  2. Step 2: Convert to fraction form
    5,748/8,902 = 8,902/x
  3. Step 3: Cross multiply
    5,748x = 8,902 × 8,902
  4. Step 4: Simplify right side
    5,748x = 79,245,604
  5. Step 5: Solve for x
    x = 79,245,604/5,748
  6. Step 6: Final answer
    x = 13,786.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.