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Finding the Third Proportional to 37,714.36 and 78,526.97

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Solution

The third proportional to 37,714.36 and 78,526.97 is: 163,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.36 : 78,526.97 = 78,526.97 : x
  2. Step 2: Convert to fraction form
    37,714.36/78,526.97 = 78,526.97/x
  3. Step 3: Cross multiply
    37,714.36x = 78,526.97 × 78,526.97
  4. Step 4: Simplify right side
    37,714.36x = 6,166,484,821.06
  5. Step 5: Solve for x
    x = 6,166,484,821.06/37,714.36
  6. Step 6: Final answer
    x = 163,504.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.