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Finding the Third Proportional to 34,711 and 74,343

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Solution

The third proportional to 34,711 and 74,343 is: 159,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711 : 74,343 = 74,343 : x
  2. Step 2: Convert to fraction form
    34,711/74,343 = 74,343/x
  3. Step 3: Cross multiply
    34,711x = 74,343 × 74,343
  4. Step 4: Simplify right side
    34,711x = 5,526,881,649
  5. Step 5: Solve for x
    x = 5,526,881,649/34,711
  6. Step 6: Final answer
    x = 159,225.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.