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Finding the Third Proportional to 31,864.50 and 70,001.44

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Solution

The third proportional to 31,864.50 and 70,001.44 is: 153,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.50 : 70,001.44 = 70,001.44 : x
  2. Step 2: Convert to fraction form
    31,864.50/70,001.44 = 70,001.44/x
  3. Step 3: Cross multiply
    31,864.50x = 70,001.44 × 70,001.44
  4. Step 4: Simplify right side
    31,864.50x = 4,900,201,252.07
  5. Step 5: Solve for x
    x = 4,900,201,252.07/31,864.50
  6. Step 6: Final answer
    x = 153,782.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.