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Finding the Third Proportional to 7,924 and 15,308

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Solution

The third proportional to 7,924 and 15,308 is: 29,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 15,308 = 15,308 : x
  2. Step 2: Convert to fraction form
    7,924/15,308 = 15,308/x
  3. Step 3: Cross multiply
    7,924x = 15,308 × 15,308
  4. Step 4: Simplify right side
    7,924x = 234,334,864
  5. Step 5: Solve for x
    x = 234,334,864/7,924
  6. Step 6: Final answer
    x = 29,572.80

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.