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Finding the Third Proportional to 34,713 and 74,700

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Solution

The third proportional to 34,713 and 74,700 is: 160,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713 : 74,700 = 74,700 : x
  2. Step 2: Convert to fraction form
    34,713/74,700 = 74,700/x
  3. Step 3: Cross multiply
    34,713x = 74,700 × 74,700
  4. Step 4: Simplify right side
    34,713x = 5,580,090,000
  5. Step 5: Solve for x
    x = 5,580,090,000/34,713
  6. Step 6: Final answer
    x = 160,749.29

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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.