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Finding the Third Proportional to 35,335.50 and 49,522.13

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Solution

The third proportional to 35,335.50 and 49,522.13 is: 69,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335.50 : 49,522.13 = 49,522.13 : x
  2. Step 2: Convert to fraction form
    35,335.50/49,522.13 = 49,522.13/x
  3. Step 3: Cross multiply
    35,335.50x = 49,522.13 × 49,522.13
  4. Step 4: Simplify right side
    35,335.50x = 2,452,440,864.52
  5. Step 5: Solve for x
    x = 2,452,440,864.52/35,335.50
  6. Step 6: Final answer
    x = 69,404.45

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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.