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Finding the Third Proportional to 37,848 and 81,470

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Solution

The third proportional to 37,848 and 81,470 is: 175,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,848 : 81,470 = 81,470 : x
  2. Step 2: Convert to fraction form
    37,848/81,470 = 81,470/x
  3. Step 3: Cross multiply
    37,848x = 81,470 × 81,470
  4. Step 4: Simplify right side
    37,848x = 6,637,360,900
  5. Step 5: Solve for x
    x = 6,637,360,900/37,848
  6. Step 6: Final answer
    x = 175,368.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.