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Finding the Third Proportional to 34,494.75 and 45,240.75

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Solution

The third proportional to 34,494.75 and 45,240.75 is: 59,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494.75 : 45,240.75 = 45,240.75 : x
  2. Step 2: Convert to fraction form
    34,494.75/45,240.75 = 45,240.75/x
  3. Step 3: Cross multiply
    34,494.75x = 45,240.75 × 45,240.75
  4. Step 4: Simplify right side
    34,494.75x = 2,046,725,460.56
  5. Step 5: Solve for x
    x = 2,046,725,460.56/34,494.75
  6. Step 6: Final answer
    x = 59,334.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.