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Finding the Third Proportional to 42,480 and 67,485.38

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Solution

The third proportional to 42,480 and 67,485.38 is: 107,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480 : 67,485.38 = 67,485.38 : x
  2. Step 2: Convert to fraction form
    42,480/67,485.38 = 67,485.38/x
  3. Step 3: Cross multiply
    42,480x = 67,485.38 × 67,485.38
  4. Step 4: Simplify right side
    42,480x = 4,554,275,838.89
  5. Step 5: Solve for x
    x = 4,554,275,838.89/42,480
  6. Step 6: Final answer
    x = 107,209.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.