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Finding the Third Proportional to 29,734.50 and 61,930.50

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Solution

The third proportional to 29,734.50 and 61,930.50 is: 128,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.50 : 61,930.50 = 61,930.50 : x
  2. Step 2: Convert to fraction form
    29,734.50/61,930.50 = 61,930.50/x
  3. Step 3: Cross multiply
    29,734.50x = 61,930.50 × 61,930.50
  4. Step 4: Simplify right side
    29,734.50x = 3,835,386,830.25
  5. Step 5: Solve for x
    x = 3,835,386,830.25/29,734.50
  6. Step 6: Final answer
    x = 128,987.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.