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Finding the Third Proportional to 29,097 and 69,987

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Solution

The third proportional to 29,097 and 69,987 is: 168,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 69,987 = 69,987 : x
  2. Step 2: Convert to fraction form
    29,097/69,987 = 69,987/x
  3. Step 3: Cross multiply
    29,097x = 69,987 × 69,987
  4. Step 4: Simplify right side
    29,097x = 4,898,180,169
  5. Step 5: Solve for x
    x = 4,898,180,169/29,097
  6. Step 6: Final answer
    x = 168,339.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.