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Finding the Third Proportional to 8,487 and 10,575

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Solution

The third proportional to 8,487 and 10,575 is: 13,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487 : 10,575 = 10,575 : x
  2. Step 2: Convert to fraction form
    8,487/10,575 = 10,575/x
  3. Step 3: Cross multiply
    8,487x = 10,575 × 10,575
  4. Step 4: Simplify right side
    8,487x = 111,830,625
  5. Step 5: Solve for x
    x = 111,830,625/8,487
  6. Step 6: Final answer
    x = 13,176.70

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.