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Finding the Third Proportional to 32,438 and 70,897

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Solution

The third proportional to 32,438 and 70,897 is: 154,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438 : 70,897 = 70,897 : x
  2. Step 2: Convert to fraction form
    32,438/70,897 = 70,897/x
  3. Step 3: Cross multiply
    32,438x = 70,897 × 70,897
  4. Step 4: Simplify right side
    32,438x = 5,026,384,609
  5. Step 5: Solve for x
    x = 5,026,384,609/32,438
  6. Step 6: Final answer
    x = 154,953.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.