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Finding the Third Proportional to 58,512.75 and 85,686.38

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Solution

The third proportional to 58,512.75 and 85,686.38 is: 125,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512.75 : 85,686.38 = 85,686.38 : x
  2. Step 2: Convert to fraction form
    58,512.75/85,686.38 = 85,686.38/x
  3. Step 3: Cross multiply
    58,512.75x = 85,686.38 × 85,686.38
  4. Step 4: Simplify right side
    58,512.75x = 7,342,154,860.64
  5. Step 5: Solve for x
    x = 7,342,154,860.64/58,512.75
  6. Step 6: Final answer
    x = 125,479.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.