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Finding the Third Proportional to 39,750.75 and 54,948.38

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Solution

The third proportional to 39,750.75 and 54,948.38 is: 75,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750.75 : 54,948.38 = 54,948.38 : x
  2. Step 2: Convert to fraction form
    39,750.75/54,948.38 = 54,948.38/x
  3. Step 3: Cross multiply
    39,750.75x = 54,948.38 × 54,948.38
  4. Step 4: Simplify right side
    39,750.75x = 3,019,323,915.14
  5. Step 5: Solve for x
    x = 3,019,323,915.14/39,750.75
  6. Step 6: Final answer
    x = 75,956.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.