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Finding the Third Proportional to 42,948.75 and 64,224.75

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Solution

The third proportional to 42,948.75 and 64,224.75 is: 96,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948.75 : 64,224.75 = 64,224.75 : x
  2. Step 2: Convert to fraction form
    42,948.75/64,224.75 = 64,224.75/x
  3. Step 3: Cross multiply
    42,948.75x = 64,224.75 × 64,224.75
  4. Step 4: Simplify right side
    42,948.75x = 4,124,818,512.56
  5. Step 5: Solve for x
    x = 4,124,818,512.56/42,948.75
  6. Step 6: Final answer
    x = 96,040.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.