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Finding the Third Proportional to 30,074 and 42,748

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Solution

The third proportional to 30,074 and 42,748 is: 60,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074 : 42,748 = 42,748 : x
  2. Step 2: Convert to fraction form
    30,074/42,748 = 42,748/x
  3. Step 3: Cross multiply
    30,074x = 42,748 × 42,748
  4. Step 4: Simplify right side
    30,074x = 1,827,391,504
  5. Step 5: Solve for x
    x = 1,827,391,504/30,074
  6. Step 6: Final answer
    x = 60,763.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.