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Finding the Third Proportional to 40,830.75 and 55,413

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Solution

The third proportional to 40,830.75 and 55,413 is: 75,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,830.75 : 55,413 = 55,413 : x
  2. Step 2: Convert to fraction form
    40,830.75/55,413 = 55,413/x
  3. Step 3: Cross multiply
    40,830.75x = 55,413 × 55,413
  4. Step 4: Simplify right side
    40,830.75x = 3,070,600,569
  5. Step 5: Solve for x
    x = 3,070,600,569/40,830.75
  6. Step 6: Final answer
    x = 75,203.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.