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Finding the Third Proportional to 5,202 and 7,875

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Solution

The third proportional to 5,202 and 7,875 is: 11,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,875 = 7,875 : x
  2. Step 2: Convert to fraction form
    5,202/7,875 = 7,875/x
  3. Step 3: Cross multiply
    5,202x = 7,875 × 7,875
  4. Step 4: Simplify right side
    5,202x = 62,015,625
  5. Step 5: Solve for x
    x = 62,015,625/5,202
  6. Step 6: Final answer
    x = 11,921.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.