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Finding the Third Proportional to 28,950 and 42,609

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Solution

The third proportional to 28,950 and 42,609 is: 62,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,950 : 42,609 = 42,609 : x
  2. Step 2: Convert to fraction form
    28,950/42,609 = 42,609/x
  3. Step 3: Cross multiply
    28,950x = 42,609 × 42,609
  4. Step 4: Simplify right side
    28,950x = 1,815,526,881
  5. Step 5: Solve for x
    x = 1,815,526,881/28,950
  6. Step 6: Final answer
    x = 62,712.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.