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Finding the Third Proportional to 29,708 and 46,384

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Solution

The third proportional to 29,708 and 46,384 is: 72,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 46,384 = 46,384 : x
  2. Step 2: Convert to fraction form
    29,708/46,384 = 46,384/x
  3. Step 3: Cross multiply
    29,708x = 46,384 × 46,384
  4. Step 4: Simplify right side
    29,708x = 2,151,475,456
  5. Step 5: Solve for x
    x = 2,151,475,456/29,708
  6. Step 6: Final answer
    x = 72,420.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.