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Finding the Third Proportional to 34,730 and 74,733

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Solution

The third proportional to 34,730 and 74,733 is: 160,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730 : 74,733 = 74,733 : x
  2. Step 2: Convert to fraction form
    34,730/74,733 = 74,733/x
  3. Step 3: Cross multiply
    34,730x = 74,733 × 74,733
  4. Step 4: Simplify right side
    34,730x = 5,585,021,289
  5. Step 5: Solve for x
    x = 5,585,021,289/34,730
  6. Step 6: Final answer
    x = 160,812.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.