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Finding the Third Proportional to 40,830 and 61,246

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Solution

The third proportional to 40,830 and 61,246 is: 91,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,830 : 61,246 = 61,246 : x
  2. Step 2: Convert to fraction form
    40,830/61,246 = 61,246/x
  3. Step 3: Cross multiply
    40,830x = 61,246 × 61,246
  4. Step 4: Simplify right side
    40,830x = 3,751,072,516
  5. Step 5: Solve for x
    x = 3,751,072,516/40,830
  6. Step 6: Final answer
    x = 91,870.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.