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Finding the Third Proportional to 24,101 and 37,091

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Solution

The third proportional to 24,101 and 37,091 is: 57,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101 : 37,091 = 37,091 : x
  2. Step 2: Convert to fraction form
    24,101/37,091 = 37,091/x
  3. Step 3: Cross multiply
    24,101x = 37,091 × 37,091
  4. Step 4: Simplify right side
    24,101x = 1,375,742,281
  5. Step 5: Solve for x
    x = 1,375,742,281/24,101
  6. Step 6: Final answer
    x = 57,082.37

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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.