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Finding the Third Proportional to 30,338 and 45,931

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Solution

The third proportional to 30,338 and 45,931 is: 69,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338 : 45,931 = 45,931 : x
  2. Step 2: Convert to fraction form
    30,338/45,931 = 45,931/x
  3. Step 3: Cross multiply
    30,338x = 45,931 × 45,931
  4. Step 4: Simplify right side
    30,338x = 2,109,656,761
  5. Step 5: Solve for x
    x = 2,109,656,761/30,338
  6. Step 6: Final answer
    x = 69,538.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.