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Finding the Third Proportional to 32,271 and 70,497

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Solution

The third proportional to 32,271 and 70,497 is: 154,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271 : 70,497 = 70,497 : x
  2. Step 2: Convert to fraction form
    32,271/70,497 = 70,497/x
  3. Step 3: Cross multiply
    32,271x = 70,497 × 70,497
  4. Step 4: Simplify right side
    32,271x = 4,969,827,009
  5. Step 5: Solve for x
    x = 4,969,827,009/32,271
  6. Step 6: Final answer
    x = 154,002.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.