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Finding the Third Proportional to 40,050 and 85,036.50

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Solution

The third proportional to 40,050 and 85,036.50 is: 180,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,050 : 85,036.50 = 85,036.50 : x
  2. Step 2: Convert to fraction form
    40,050/85,036.50 = 85,036.50/x
  3. Step 3: Cross multiply
    40,050x = 85,036.50 × 85,036.50
  4. Step 4: Simplify right side
    40,050x = 7,231,206,332.25
  5. Step 5: Solve for x
    x = 7,231,206,332.25/40,050
  6. Step 6: Final answer
    x = 180,554.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.