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Finding the Third Proportional to 5,210.25 and 7,815.75

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Solution

The third proportional to 5,210.25 and 7,815.75 is: 11,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.25 : 7,815.75 = 7,815.75 : x
  2. Step 2: Convert to fraction form
    5,210.25/7,815.75 = 7,815.75/x
  3. Step 3: Cross multiply
    5,210.25x = 7,815.75 × 7,815.75
  4. Step 4: Simplify right side
    5,210.25x = 61,085,948.06
  5. Step 5: Solve for x
    x = 61,085,948.06/5,210.25
  6. Step 6: Final answer
    x = 11,724.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.