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Finding the Third Proportional to 24,114 and 37,263

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Solution

The third proportional to 24,114 and 37,263 is: 57,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 37,263 = 37,263 : x
  2. Step 2: Convert to fraction form
    24,114/37,263 = 37,263/x
  3. Step 3: Cross multiply
    24,114x = 37,263 × 37,263
  4. Step 4: Simplify right side
    24,114x = 1,388,531,169
  5. Step 5: Solve for x
    x = 1,388,531,169/24,114
  6. Step 6: Final answer
    x = 57,581.95

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Why These Related Problems?

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