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Finding the Third Proportional to 29,097 and 62,835

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Solution

The third proportional to 29,097 and 62,835 is: 135,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 62,835 = 62,835 : x
  2. Step 2: Convert to fraction form
    29,097/62,835 = 62,835/x
  3. Step 3: Cross multiply
    29,097x = 62,835 × 62,835
  4. Step 4: Simplify right side
    29,097x = 3,948,237,225
  5. Step 5: Solve for x
    x = 3,948,237,225/29,097
  6. Step 6: Final answer
    x = 135,692.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.