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Finding the Third Proportional to 42,322.13 and 66,958.69

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Solution

The third proportional to 42,322.13 and 66,958.69 is: 105,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.13 : 66,958.69 = 66,958.69 : x
  2. Step 2: Convert to fraction form
    42,322.13/66,958.69 = 66,958.69/x
  3. Step 3: Cross multiply
    42,322.13x = 66,958.69 × 66,958.69
  4. Step 4: Simplify right side
    42,322.13x = 4,483,465,831.72
  5. Step 5: Solve for x
    x = 4,483,465,831.72/42,322.13
  6. Step 6: Final answer
    x = 105,936.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.