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Finding the Third Proportional to 24,006.38 and 52,690.50

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Solution

The third proportional to 24,006.38 and 52,690.50 is: 115,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.38 : 52,690.50 = 52,690.50 : x
  2. Step 2: Convert to fraction form
    24,006.38/52,690.50 = 52,690.50/x
  3. Step 3: Cross multiply
    24,006.38x = 52,690.50 × 52,690.50
  4. Step 4: Simplify right side
    24,006.38x = 2,776,288,790.25
  5. Step 5: Solve for x
    x = 2,776,288,790.25/24,006.38
  6. Step 6: Final answer
    x = 115,647.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.