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Finding the Third Proportional to 24,382.13 and 38,258.06

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Solution

The third proportional to 24,382.13 and 38,258.06 is: 60,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.13 : 38,258.06 = 38,258.06 : x
  2. Step 2: Convert to fraction form
    24,382.13/38,258.06 = 38,258.06/x
  3. Step 3: Cross multiply
    24,382.13x = 38,258.06 × 38,258.06
  4. Step 4: Simplify right side
    24,382.13x = 1,463,679,346.25
  5. Step 5: Solve for x
    x = 1,463,679,346.25/24,382.13
  6. Step 6: Final answer
    x = 60,030.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.