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Finding the Third Proportional to 6,418 and 9,532.88

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Solution

The third proportional to 6,418 and 9,532.88 is: 14,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418 : 9,532.88 = 9,532.88 : x
  2. Step 2: Convert to fraction form
    6,418/9,532.88 = 9,532.88/x
  3. Step 3: Cross multiply
    6,418x = 9,532.88 × 9,532.88
  4. Step 4: Simplify right side
    6,418x = 90,875,705.77
  5. Step 5: Solve for x
    x = 90,875,705.77/6,418
  6. Step 6: Final answer
    x = 14,159.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.