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Finding the Third Proportional to 42,342.75 and 65,602.41

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Solution

The third proportional to 42,342.75 and 65,602.41 is: 101,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.75 : 65,602.41 = 65,602.41 : x
  2. Step 2: Convert to fraction form
    42,342.75/65,602.41 = 65,602.41/x
  3. Step 3: Cross multiply
    42,342.75x = 65,602.41 × 65,602.41
  4. Step 4: Simplify right side
    42,342.75x = 4,303,675,705.79
  5. Step 5: Solve for x
    x = 4,303,675,705.79/42,342.75
  6. Step 6: Final answer
    x = 101,639.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.