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Finding the Third Proportional to 39,807 and 85,830

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Solution

The third proportional to 39,807 and 85,830 is: 185,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,807 : 85,830 = 85,830 : x
  2. Step 2: Convert to fraction form
    39,807/85,830 = 85,830/x
  3. Step 3: Cross multiply
    39,807x = 85,830 × 85,830
  4. Step 4: Simplify right side
    39,807x = 7,366,788,900
  5. Step 5: Solve for x
    x = 7,366,788,900/39,807
  6. Step 6: Final answer
    x = 185,062.65

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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.