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Finding the Third Proportional to 37,913 and 58,029

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Solution

The third proportional to 37,913 and 58,029 is: 88,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913 : 58,029 = 58,029 : x
  2. Step 2: Convert to fraction form
    37,913/58,029 = 58,029/x
  3. Step 3: Cross multiply
    37,913x = 58,029 × 58,029
  4. Step 4: Simplify right side
    37,913x = 3,367,364,841
  5. Step 5: Solve for x
    x = 3,367,364,841/37,913
  6. Step 6: Final answer
    x = 88,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.