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Finding the Third Proportional to 9,582 and 13,415

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Solution

The third proportional to 9,582 and 13,415 is: 18,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 13,415 = 13,415 : x
  2. Step 2: Convert to fraction form
    9,582/13,415 = 13,415/x
  3. Step 3: Cross multiply
    9,582x = 13,415 × 13,415
  4. Step 4: Simplify right side
    9,582x = 179,962,225
  5. Step 5: Solve for x
    x = 179,962,225/9,582
  6. Step 6: Final answer
    x = 18,781.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.