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Finding the Third Proportional to 6,461 and 9,921

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Solution

The third proportional to 6,461 and 9,921 is: 15,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461 : 9,921 = 9,921 : x
  2. Step 2: Convert to fraction form
    6,461/9,921 = 9,921/x
  3. Step 3: Cross multiply
    6,461x = 9,921 × 9,921
  4. Step 4: Simplify right side
    6,461x = 98,426,241
  5. Step 5: Solve for x
    x = 98,426,241/6,461
  6. Step 6: Final answer
    x = 15,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.