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Finding the Third Proportional to 42,441.47 and 65,507.48

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Solution

The third proportional to 42,441.47 and 65,507.48 is: 101,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441.47 : 65,507.48 = 65,507.48 : x
  2. Step 2: Convert to fraction form
    42,441.47/65,507.48 = 65,507.48/x
  3. Step 3: Cross multiply
    42,441.47x = 65,507.48 × 65,507.48
  4. Step 4: Simplify right side
    42,441.47x = 4,291,230,509.14
  5. Step 5: Solve for x
    x = 4,291,230,509.14/42,441.47
  6. Step 6: Final answer
    x = 101,109.38

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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.