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Finding the Third Proportional to 29,097 and 42,508

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Solution

The third proportional to 29,097 and 42,508 is: 62,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 42,508 = 42,508 : x
  2. Step 2: Convert to fraction form
    29,097/42,508 = 42,508/x
  3. Step 3: Cross multiply
    29,097x = 42,508 × 42,508
  4. Step 4: Simplify right side
    29,097x = 1,806,930,064
  5. Step 5: Solve for x
    x = 1,806,930,064/29,097
  6. Step 6: Final answer
    x = 62,100.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.