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Finding the Third Proportional to 24,100 and 37,090

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Solution

The third proportional to 24,100 and 37,090 is: 57,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100 : 37,090 = 37,090 : x
  2. Step 2: Convert to fraction form
    24,100/37,090 = 37,090/x
  3. Step 3: Cross multiply
    24,100x = 37,090 × 37,090
  4. Step 4: Simplify right side
    24,100x = 1,375,668,100
  5. Step 5: Solve for x
    x = 1,375,668,100/24,100
  6. Step 6: Final answer
    x = 57,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.