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Finding the Third Proportional to 24,258.19 and 38,574.31

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Solution

The third proportional to 24,258.19 and 38,574.31 is: 61,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,258.19 : 38,574.31 = 38,574.31 : x
  2. Step 2: Convert to fraction form
    24,258.19/38,574.31 = 38,574.31/x
  3. Step 3: Cross multiply
    24,258.19x = 38,574.31 × 38,574.31
  4. Step 4: Simplify right side
    24,258.19x = 1,487,977,584.85
  5. Step 5: Solve for x
    x = 1,487,977,584.85/24,258.19
  6. Step 6: Final answer
    x = 61,339.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.