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Finding the Third Proportional to 29,703 and 64,530

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Solution

The third proportional to 29,703 and 64,530 is: 140,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 64,530 = 64,530 : x
  2. Step 2: Convert to fraction form
    29,703/64,530 = 64,530/x
  3. Step 3: Cross multiply
    29,703x = 64,530 × 64,530
  4. Step 4: Simplify right side
    29,703x = 4,164,120,900
  5. Step 5: Solve for x
    x = 4,164,120,900/29,703
  6. Step 6: Final answer
    x = 140,191.93

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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.