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Finding the Third Proportional to 37,029 and 78,471

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Solution

The third proportional to 37,029 and 78,471 is: 166,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029 : 78,471 = 78,471 : x
  2. Step 2: Convert to fraction form
    37,029/78,471 = 78,471/x
  3. Step 3: Cross multiply
    37,029x = 78,471 × 78,471
  4. Step 4: Simplify right side
    37,029x = 6,157,697,841
  5. Step 5: Solve for x
    x = 6,157,697,841/37,029
  6. Step 6: Final answer
    x = 166,293.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.