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Finding the Third Proportional to 7,748 and 13,704

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Solution

The third proportional to 7,748 and 13,704 is: 24,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 13,704 = 13,704 : x
  2. Step 2: Convert to fraction form
    7,748/13,704 = 13,704/x
  3. Step 3: Cross multiply
    7,748x = 13,704 × 13,704
  4. Step 4: Simplify right side
    7,748x = 187,799,616
  5. Step 5: Solve for x
    x = 187,799,616/7,748
  6. Step 6: Final answer
    x = 24,238.46

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.