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Finding the Third Proportional to 31,873 and 70,037

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Solution

The third proportional to 31,873 and 70,037 is: 153,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873 : 70,037 = 70,037 : x
  2. Step 2: Convert to fraction form
    31,873/70,037 = 70,037/x
  3. Step 3: Cross multiply
    31,873x = 70,037 × 70,037
  4. Step 4: Simplify right side
    31,873x = 4,905,181,369
  5. Step 5: Solve for x
    x = 4,905,181,369/31,873
  6. Step 6: Final answer
    x = 153,897.70

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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.