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Finding the Third Proportional to 37,971 and 81,783

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Solution

The third proportional to 37,971 and 81,783 is: 176,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971 : 81,783 = 81,783 : x
  2. Step 2: Convert to fraction form
    37,971/81,783 = 81,783/x
  3. Step 3: Cross multiply
    37,971x = 81,783 × 81,783
  4. Step 4: Simplify right side
    37,971x = 6,688,459,089
  5. Step 5: Solve for x
    x = 6,688,459,089/37,971
  6. Step 6: Final answer
    x = 176,146.51

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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.