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Finding the Third Proportional to 38,466.56 and 58,230.56

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Solution

The third proportional to 38,466.56 and 58,230.56 is: 88,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.56 : 58,230.56 = 58,230.56 : x
  2. Step 2: Convert to fraction form
    38,466.56/58,230.56 = 58,230.56/x
  3. Step 3: Cross multiply
    38,466.56x = 58,230.56 × 58,230.56
  4. Step 4: Simplify right side
    38,466.56x = 3,390,798,409.07
  5. Step 5: Solve for x
    x = 3,390,798,409.07/38,466.56
  6. Step 6: Final answer
    x = 88,149.24

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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.