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Finding the Third Proportional to 8,582 and 9,854

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Solution

The third proportional to 8,582 and 9,854 is: 11,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582 : 9,854 = 9,854 : x
  2. Step 2: Convert to fraction form
    8,582/9,854 = 9,854/x
  3. Step 3: Cross multiply
    8,582x = 9,854 × 9,854
  4. Step 4: Simplify right side
    8,582x = 97,101,316
  5. Step 5: Solve for x
    x = 97,101,316/8,582
  6. Step 6: Final answer
    x = 11,314.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.