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Finding the Third Proportional to 42,669 and 62,907.75

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Solution

The third proportional to 42,669 and 62,907.75 is: 92,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669 : 62,907.75 = 62,907.75 : x
  2. Step 2: Convert to fraction form
    42,669/62,907.75 = 62,907.75/x
  3. Step 3: Cross multiply
    42,669x = 62,907.75 × 62,907.75
  4. Step 4: Simplify right side
    42,669x = 3,957,385,010.06
  5. Step 5: Solve for x
    x = 3,957,385,010.06/42,669
  6. Step 6: Final answer
    x = 92,746.14

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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.