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Finding the Third Proportional to 35,758.13 and 49,030.31

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Solution

The third proportional to 35,758.13 and 49,030.31 is: 67,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.13 : 49,030.31 = 49,030.31 : x
  2. Step 2: Convert to fraction form
    35,758.13/49,030.31 = 49,030.31/x
  3. Step 3: Cross multiply
    35,758.13x = 49,030.31 × 49,030.31
  4. Step 4: Simplify right side
    35,758.13x = 2,403,971,543.85
  5. Step 5: Solve for x
    x = 2,403,971,543.85/35,758.13
  6. Step 6: Final answer
    x = 67,228.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.