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Finding the Third Proportional to 29,486 and 61,706

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Solution

The third proportional to 29,486 and 61,706 is: 129,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486 : 61,706 = 61,706 : x
  2. Step 2: Convert to fraction form
    29,486/61,706 = 61,706/x
  3. Step 3: Cross multiply
    29,486x = 61,706 × 61,706
  4. Step 4: Simplify right side
    29,486x = 3,807,630,436
  5. Step 5: Solve for x
    x = 3,807,630,436/29,486
  6. Step 6: Final answer
    x = 129,133.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.