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Finding the Third Proportional to 42,216.19 and 59,374.69

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Solution

The third proportional to 42,216.19 and 59,374.69 is: 83,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.19 : 59,374.69 = 59,374.69 : x
  2. Step 2: Convert to fraction form
    42,216.19/59,374.69 = 59,374.69/x
  3. Step 3: Cross multiply
    42,216.19x = 59,374.69 × 59,374.69
  4. Step 4: Simplify right side
    42,216.19x = 3,525,353,515.72
  5. Step 5: Solve for x
    x = 3,525,353,515.72/42,216.19
  6. Step 6: Final answer
    x = 83,507.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.