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Finding the Third Proportional to 10,584 and 15,308

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Solution

The third proportional to 10,584 and 15,308 is: 22,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 15,308 = 15,308 : x
  2. Step 2: Convert to fraction form
    10,584/15,308 = 15,308/x
  3. Step 3: Cross multiply
    10,584x = 15,308 × 15,308
  4. Step 4: Simplify right side
    10,584x = 234,334,864
  5. Step 5: Solve for x
    x = 234,334,864/10,584
  6. Step 6: Final answer
    x = 22,140.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.