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Finding the Third Proportional to 11,332 and 24,365

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Solution

The third proportional to 11,332 and 24,365 is: 52,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 24,365 = 24,365 : x
  2. Step 2: Convert to fraction form
    11,332/24,365 = 24,365/x
  3. Step 3: Cross multiply
    11,332x = 24,365 × 24,365
  4. Step 4: Simplify right side
    11,332x = 593,653,225
  5. Step 5: Solve for x
    x = 593,653,225/11,332
  6. Step 6: Final answer
    x = 52,387.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.