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Finding the Third Proportional to 9,484 and 10,924

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Solution

The third proportional to 9,484 and 10,924 is: 12,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484 : 10,924 = 10,924 : x
  2. Step 2: Convert to fraction form
    9,484/10,924 = 10,924/x
  3. Step 3: Cross multiply
    9,484x = 10,924 × 10,924
  4. Step 4: Simplify right side
    9,484x = 119,333,776
  5. Step 5: Solve for x
    x = 119,333,776/9,484
  6. Step 6: Final answer
    x = 12,582.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.