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Finding the Third Proportional to 31,350.75 and 63,511.50

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Solution

The third proportional to 31,350.75 and 63,511.50 is: 128,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350.75 : 63,511.50 = 63,511.50 : x
  2. Step 2: Convert to fraction form
    31,350.75/63,511.50 = 63,511.50/x
  3. Step 3: Cross multiply
    31,350.75x = 63,511.50 × 63,511.50
  4. Step 4: Simplify right side
    31,350.75x = 4,033,710,632.25
  5. Step 5: Solve for x
    x = 4,033,710,632.25/31,350.75
  6. Step 6: Final answer
    x = 128,663.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.