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Finding the Third Proportional to 39,814.03 and 85,854.94

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Solution

The third proportional to 39,814.03 and 85,854.94 is: 185,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814.03 : 85,854.94 = 85,854.94 : x
  2. Step 2: Convert to fraction form
    39,814.03/85,854.94 = 85,854.94/x
  3. Step 3: Cross multiply
    39,814.03x = 85,854.94 × 85,854.94
  4. Step 4: Simplify right side
    39,814.03x = 7,371,070,293.13
  5. Step 5: Solve for x
    x = 7,371,070,293.13/39,814.03
  6. Step 6: Final answer
    x = 185,137.50

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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.