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Finding the Third Proportional to 11,428 and 24,312

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Solution

The third proportional to 11,428 and 24,312 is: 51,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 24,312 = 24,312 : x
  2. Step 2: Convert to fraction form
    11,428/24,312 = 24,312/x
  3. Step 3: Cross multiply
    11,428x = 24,312 × 24,312
  4. Step 4: Simplify right side
    11,428x = 591,073,344
  5. Step 5: Solve for x
    x = 591,073,344/11,428
  6. Step 6: Final answer
    x = 51,721.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.