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Finding the Third Proportional to 29,702 and 61,854

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Solution

The third proportional to 29,702 and 61,854 is: 128,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 61,854 = 61,854 : x
  2. Step 2: Convert to fraction form
    29,702/61,854 = 61,854/x
  3. Step 3: Cross multiply
    29,702x = 61,854 × 61,854
  4. Step 4: Simplify right side
    29,702x = 3,825,917,316
  5. Step 5: Solve for x
    x = 3,825,917,316/29,702
  6. Step 6: Final answer
    x = 128,810.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.