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Finding the Third Proportional to 10,624 and 18,784

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Solution

The third proportional to 10,624 and 18,784 is: 33,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 18,784 = 18,784 : x
  2. Step 2: Convert to fraction form
    10,624/18,784 = 18,784/x
  3. Step 3: Cross multiply
    10,624x = 18,784 × 18,784
  4. Step 4: Simplify right side
    10,624x = 352,838,656
  5. Step 5: Solve for x
    x = 352,838,656/10,624
  6. Step 6: Final answer
    x = 33,211.47

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.