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Finding the Third Proportional to 28,806 and 38,709

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Solution

The third proportional to 28,806 and 38,709 is: 52,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,806 : 38,709 = 38,709 : x
  2. Step 2: Convert to fraction form
    28,806/38,709 = 38,709/x
  3. Step 3: Cross multiply
    28,806x = 38,709 × 38,709
  4. Step 4: Simplify right side
    28,806x = 1,498,386,681
  5. Step 5: Solve for x
    x = 1,498,386,681/28,806
  6. Step 6: Final answer
    x = 52,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.