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Finding the Third Proportional to 29,036 and 63,348

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Solution

The third proportional to 29,036 and 63,348 is: 138,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,036 : 63,348 = 63,348 : x
  2. Step 2: Convert to fraction form
    29,036/63,348 = 63,348/x
  3. Step 3: Cross multiply
    29,036x = 63,348 × 63,348
  4. Step 4: Simplify right side
    29,036x = 4,012,969,104
  5. Step 5: Solve for x
    x = 4,012,969,104/29,036
  6. Step 6: Final answer
    x = 138,206.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.