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Finding the Third Proportional to 37,800 and 77,712

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Solution

The third proportional to 37,800 and 77,712 is: 159,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800 : 77,712 = 77,712 : x
  2. Step 2: Convert to fraction form
    37,800/77,712 = 77,712/x
  3. Step 3: Cross multiply
    37,800x = 77,712 × 77,712
  4. Step 4: Simplify right side
    37,800x = 6,039,154,944
  5. Step 5: Solve for x
    x = 6,039,154,944/37,800
  6. Step 6: Final answer
    x = 159,766.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.