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Finding the Third Proportional to 38,535 and 58,080

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Solution

The third proportional to 38,535 and 58,080 is: 87,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535 : 58,080 = 58,080 : x
  2. Step 2: Convert to fraction form
    38,535/58,080 = 58,080/x
  3. Step 3: Cross multiply
    38,535x = 58,080 × 58,080
  4. Step 4: Simplify right side
    38,535x = 3,373,286,400
  5. Step 5: Solve for x
    x = 3,373,286,400/38,535
  6. Step 6: Final answer
    x = 87,538.25

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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.