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Finding the Third Proportional to 9,932 and 15,308

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Solution

The third proportional to 9,932 and 15,308 is: 23,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932 : 15,308 = 15,308 : x
  2. Step 2: Convert to fraction form
    9,932/15,308 = 15,308/x
  3. Step 3: Cross multiply
    9,932x = 15,308 × 15,308
  4. Step 4: Simplify right side
    9,932x = 234,334,864
  5. Step 5: Solve for x
    x = 234,334,864/9,932
  6. Step 6: Final answer
    x = 23,593.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.