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Finding the Third Proportional to 42,669 and 59,680.50

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Solution

The third proportional to 42,669 and 59,680.50 is: 83,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669 : 59,680.50 = 59,680.50 : x
  2. Step 2: Convert to fraction form
    42,669/59,680.50 = 59,680.50/x
  3. Step 3: Cross multiply
    42,669x = 59,680.50 × 59,680.50
  4. Step 4: Simplify right side
    42,669x = 3,561,762,080.25
  5. Step 5: Solve for x
    x = 3,561,762,080.25/42,669
  6. Step 6: Final answer
    x = 83,474.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.