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Finding the Third Proportional to 35,835.75 and 39,025.13

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Solution

The third proportional to 35,835.75 and 39,025.13 is: 42,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,835.75 : 39,025.13 = 39,025.13 : x
  2. Step 2: Convert to fraction form
    35,835.75/39,025.13 = 39,025.13/x
  3. Step 3: Cross multiply
    35,835.75x = 39,025.13 × 39,025.13
  4. Step 4: Simplify right side
    35,835.75x = 1,522,960,381.27
  5. Step 5: Solve for x
    x = 1,522,960,381.27/35,835.75
  6. Step 6: Final answer
    x = 42,498.35

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.