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Finding the Third Proportional to 42,261.75 and 63,261

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Solution

The third proportional to 42,261.75 and 63,261 is: 94,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,261.75 : 63,261 = 63,261 : x
  2. Step 2: Convert to fraction form
    42,261.75/63,261 = 63,261/x
  3. Step 3: Cross multiply
    42,261.75x = 63,261 × 63,261
  4. Step 4: Simplify right side
    42,261.75x = 4,001,954,121
  5. Step 5: Solve for x
    x = 4,001,954,121/42,261.75
  6. Step 6: Final answer
    x = 94,694.47

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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.