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Finding the Third Proportional to 38,565 and 58,258.25

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Solution

The third proportional to 38,565 and 58,258.25 is: 88,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565 : 58,258.25 = 58,258.25 : x
  2. Step 2: Convert to fraction form
    38,565/58,258.25 = 58,258.25/x
  3. Step 3: Cross multiply
    38,565x = 58,258.25 × 58,258.25
  4. Step 4: Simplify right side
    38,565x = 3,394,023,693.06
  5. Step 5: Solve for x
    x = 3,394,023,693.06/38,565
  6. Step 6: Final answer
    x = 88,007.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.