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Finding the Third Proportional to 42,329.74 and 65,392.15

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Solution

The third proportional to 42,329.74 and 65,392.15 is: 101,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329.74 : 65,392.15 = 65,392.15 : x
  2. Step 2: Convert to fraction form
    42,329.74/65,392.15 = 65,392.15/x
  3. Step 3: Cross multiply
    42,329.74x = 65,392.15 × 65,392.15
  4. Step 4: Simplify right side
    42,329.74x = 4,276,133,843.59
  5. Step 5: Solve for x
    x = 4,276,133,843.59/42,329.74
  6. Step 6: Final answer
    x = 101,019.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.