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Finding the Third Proportional to 24,198.75 and 36,038.25

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Solution

The third proportional to 24,198.75 and 36,038.25 is: 53,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.75 : 36,038.25 = 36,038.25 : x
  2. Step 2: Convert to fraction form
    24,198.75/36,038.25 = 36,038.25/x
  3. Step 3: Cross multiply
    24,198.75x = 36,038.25 × 36,038.25
  4. Step 4: Simplify right side
    24,198.75x = 1,298,755,463.06
  5. Step 5: Solve for x
    x = 1,298,755,463.06/24,198.75
  6. Step 6: Final answer
    x = 53,670.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.