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Finding the Third Proportional to 11,730 and 24,674

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Solution

The third proportional to 11,730 and 24,674 is: 51,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730 : 24,674 = 24,674 : x
  2. Step 2: Convert to fraction form
    11,730/24,674 = 24,674/x
  3. Step 3: Cross multiply
    11,730x = 24,674 × 24,674
  4. Step 4: Simplify right side
    11,730x = 608,806,276
  5. Step 5: Solve for x
    x = 608,806,276/11,730
  6. Step 6: Final answer
    x = 51,901.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.