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Finding the Third Proportional to 29,097 and 61,656

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Solution

The third proportional to 29,097 and 61,656 is: 130,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 61,656 = 61,656 : x
  2. Step 2: Convert to fraction form
    29,097/61,656 = 61,656/x
  3. Step 3: Cross multiply
    29,097x = 61,656 × 61,656
  4. Step 4: Simplify right side
    29,097x = 3,801,462,336
  5. Step 5: Solve for x
    x = 3,801,462,336/29,097
  6. Step 6: Final answer
    x = 130,647.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.