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Finding the Third Proportional to 34,038 and 73,910

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Solution

The third proportional to 34,038 and 73,910 is: 160,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038 : 73,910 = 73,910 : x
  2. Step 2: Convert to fraction form
    34,038/73,910 = 73,910/x
  3. Step 3: Cross multiply
    34,038x = 73,910 × 73,910
  4. Step 4: Simplify right side
    34,038x = 5,462,688,100
  5. Step 5: Solve for x
    x = 5,462,688,100/34,038
  6. Step 6: Final answer
    x = 160,487.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.