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Finding the Third Proportional to 23,744 and 37,240

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Solution

The third proportional to 23,744 and 37,240 is: 58,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744 : 37,240 = 37,240 : x
  2. Step 2: Convert to fraction form
    23,744/37,240 = 37,240/x
  3. Step 3: Cross multiply
    23,744x = 37,240 × 37,240
  4. Step 4: Simplify right side
    23,744x = 1,386,817,600
  5. Step 5: Solve for x
    x = 1,386,817,600/23,744
  6. Step 6: Final answer
    x = 58,407.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.