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Finding the Third Proportional to 29,702 and 52,798

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Solution

The third proportional to 29,702 and 52,798 is: 93,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 52,798 = 52,798 : x
  2. Step 2: Convert to fraction form
    29,702/52,798 = 52,798/x
  3. Step 3: Cross multiply
    29,702x = 52,798 × 52,798
  4. Step 4: Simplify right side
    29,702x = 2,787,628,804
  5. Step 5: Solve for x
    x = 2,787,628,804/29,702
  6. Step 6: Final answer
    x = 93,853.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.