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Finding the Third Proportional to 9,584 and 15,264

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Solution

The third proportional to 9,584 and 15,264 is: 24,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 15,264 = 15,264 : x
  2. Step 2: Convert to fraction form
    9,584/15,264 = 15,264/x
  3. Step 3: Cross multiply
    9,584x = 15,264 × 15,264
  4. Step 4: Simplify right side
    9,584x = 232,989,696
  5. Step 5: Solve for x
    x = 232,989,696/9,584
  6. Step 6: Final answer
    x = 24,310.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.