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Finding the Third Proportional to 24,247 and 36,460.50

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Solution

The third proportional to 24,247 and 36,460.50 is: 54,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,247 : 36,460.50 = 36,460.50 : x
  2. Step 2: Convert to fraction form
    24,247/36,460.50 = 36,460.50/x
  3. Step 3: Cross multiply
    24,247x = 36,460.50 × 36,460.50
  4. Step 4: Simplify right side
    24,247x = 1,329,368,060.25
  5. Step 5: Solve for x
    x = 1,329,368,060.25/24,247
  6. Step 6: Final answer
    x = 54,826.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.