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Finding the Third Proportional to 45,348.75 and 59,676.75

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Solution

The third proportional to 45,348.75 and 59,676.75 is: 78,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,348.75 : 59,676.75 = 59,676.75 : x
  2. Step 2: Convert to fraction form
    45,348.75/59,676.75 = 59,676.75/x
  3. Step 3: Cross multiply
    45,348.75x = 59,676.75 × 59,676.75
  4. Step 4: Simplify right side
    45,348.75x = 3,561,314,490.56
  5. Step 5: Solve for x
    x = 3,561,314,490.56/45,348.75
  6. Step 6: Final answer
    x = 78,531.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.