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Finding the Third Proportional to 24,582 and 37,074

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Solution

The third proportional to 24,582 and 37,074 is: 55,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582 : 37,074 = 37,074 : x
  2. Step 2: Convert to fraction form
    24,582/37,074 = 37,074/x
  3. Step 3: Cross multiply
    24,582x = 37,074 × 37,074
  4. Step 4: Simplify right side
    24,582x = 1,374,481,476
  5. Step 5: Solve for x
    x = 1,374,481,476/24,582
  6. Step 6: Final answer
    x = 55,914.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.