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Finding the Third Proportional to 32,348 and 70,711

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Solution

The third proportional to 32,348 and 70,711 is: 154,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 70,711 = 70,711 : x
  2. Step 2: Convert to fraction form
    32,348/70,711 = 70,711/x
  3. Step 3: Cross multiply
    32,348x = 70,711 × 70,711
  4. Step 4: Simplify right side
    32,348x = 5,000,045,521
  5. Step 5: Solve for x
    x = 5,000,045,521/32,348
  6. Step 6: Final answer
    x = 154,570.47

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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.