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Finding the Third Proportional to 7,924 and 18,298

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Solution

The third proportional to 7,924 and 18,298 is: 42,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 18,298 = 18,298 : x
  2. Step 2: Convert to fraction form
    7,924/18,298 = 18,298/x
  3. Step 3: Cross multiply
    7,924x = 18,298 × 18,298
  4. Step 4: Simplify right side
    7,924x = 334,816,804
  5. Step 5: Solve for x
    x = 334,816,804/7,924
  6. Step 6: Final answer
    x = 42,253.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.