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Finding the Third Proportional to 6,488.50 and 10,035.50

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Solution

The third proportional to 6,488.50 and 10,035.50 is: 15,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.50 : 10,035.50 = 10,035.50 : x
  2. Step 2: Convert to fraction form
    6,488.50/10,035.50 = 10,035.50/x
  3. Step 3: Cross multiply
    6,488.50x = 10,035.50 × 10,035.50
  4. Step 4: Simplify right side
    6,488.50x = 100,711,260.25
  5. Step 5: Solve for x
    x = 100,711,260.25/6,488.50
  6. Step 6: Final answer
    x = 15,521.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.