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Finding the Third Proportional to 35,658.50 and 55,215.75

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Solution

The third proportional to 35,658.50 and 55,215.75 is: 85,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.50 : 55,215.75 = 55,215.75 : x
  2. Step 2: Convert to fraction form
    35,658.50/55,215.75 = 55,215.75/x
  3. Step 3: Cross multiply
    35,658.50x = 55,215.75 × 55,215.75
  4. Step 4: Simplify right side
    35,658.50x = 3,048,779,048.06
  5. Step 5: Solve for x
    x = 3,048,779,048.06/35,658.50
  6. Step 6: Final answer
    x = 85,499.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.