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Finding the Third Proportional to 32,258.25 and 47,438.16

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Solution

The third proportional to 32,258.25 and 47,438.16 is: 69,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258.25 : 47,438.16 = 47,438.16 : x
  2. Step 2: Convert to fraction form
    32,258.25/47,438.16 = 47,438.16/x
  3. Step 3: Cross multiply
    32,258.25x = 47,438.16 × 47,438.16
  4. Step 4: Simplify right side
    32,258.25x = 2,250,378,668.40
  5. Step 5: Solve for x
    x = 2,250,378,668.40/32,258.25
  6. Step 6: Final answer
    x = 69,761.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.