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Finding the Third Proportional to 32,549 and 70,870

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Solution

The third proportional to 32,549 and 70,870 is: 154,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549 : 70,870 = 70,870 : x
  2. Step 2: Convert to fraction form
    32,549/70,870 = 70,870/x
  3. Step 3: Cross multiply
    32,549x = 70,870 × 70,870
  4. Step 4: Simplify right side
    32,549x = 5,022,556,900
  5. Step 5: Solve for x
    x = 5,022,556,900/32,549
  6. Step 6: Final answer
    x = 154,307.56

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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.