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Finding the Third Proportional to 34,017.57 and 47,590.48

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Solution

The third proportional to 34,017.57 and 47,590.48 is: 66,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017.57 : 47,590.48 = 47,590.48 : x
  2. Step 2: Convert to fraction form
    34,017.57/47,590.48 = 47,590.48/x
  3. Step 3: Cross multiply
    34,017.57x = 47,590.48 × 47,590.48
  4. Step 4: Simplify right side
    34,017.57x = 2,264,853,424.59
  5. Step 5: Solve for x
    x = 2,264,853,424.59/34,017.57
  6. Step 6: Final answer
    x = 66,578.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.