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Finding the Third Proportional to 42,365.53 and 65,637.84

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Solution

The third proportional to 42,365.53 and 65,637.84 is: 101,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.53 : 65,637.84 = 65,637.84 : x
  2. Step 2: Convert to fraction form
    42,365.53/65,637.84 = 65,637.84/x
  3. Step 3: Cross multiply
    42,365.53x = 65,637.84 × 65,637.84
  4. Step 4: Simplify right side
    42,365.53x = 4,308,326,532.15
  5. Step 5: Solve for x
    x = 4,308,326,532.15/42,365.53
  6. Step 6: Final answer
    x = 101,694.15

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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.