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Finding the Third Proportional to 9,000 and 15,308

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Solution

The third proportional to 9,000 and 15,308 is: 26,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 15,308 = 15,308 : x
  2. Step 2: Convert to fraction form
    9,000/15,308 = 15,308/x
  3. Step 3: Cross multiply
    9,000x = 15,308 × 15,308
  4. Step 4: Simplify right side
    9,000x = 234,334,864
  5. Step 5: Solve for x
    x = 234,334,864/9,000
  6. Step 6: Final answer
    x = 26,037.21

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.