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Finding the Third Proportional to 11,364 and 24,342

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Solution

The third proportional to 11,364 and 24,342 is: 52,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364 : 24,342 = 24,342 : x
  2. Step 2: Convert to fraction form
    11,364/24,342 = 24,342/x
  3. Step 3: Cross multiply
    11,364x = 24,342 × 24,342
  4. Step 4: Simplify right side
    11,364x = 592,532,964
  5. Step 5: Solve for x
    x = 592,532,964/11,364
  6. Step 6: Final answer
    x = 52,141.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.