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Finding the Third Proportional to 5,303.25 and 7,952.25

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Solution

The third proportional to 5,303.25 and 7,952.25 is: 11,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,952.25 = 7,952.25 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,952.25 = 7,952.25/x
  3. Step 3: Cross multiply
    5,303.25x = 7,952.25 × 7,952.25
  4. Step 4: Simplify right side
    5,303.25x = 63,238,280.06
  5. Step 5: Solve for x
    x = 63,238,280.06/5,303.25
  6. Step 6: Final answer
    x = 11,924.44

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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.