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Finding the Third Proportional to 24,924 and 37,029

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Solution

The third proportional to 24,924 and 37,029 is: 55,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 37,029 = 37,029 : x
  2. Step 2: Convert to fraction form
    24,924/37,029 = 37,029/x
  3. Step 3: Cross multiply
    24,924x = 37,029 × 37,029
  4. Step 4: Simplify right side
    24,924x = 1,371,146,841
  5. Step 5: Solve for x
    x = 1,371,146,841/24,924
  6. Step 6: Final answer
    x = 55,013.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.