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Finding the Third Proportional to 8,968 and 9,886

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Solution

The third proportional to 8,968 and 9,886 is: 10,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968 : 9,886 = 9,886 : x
  2. Step 2: Convert to fraction form
    8,968/9,886 = 9,886/x
  3. Step 3: Cross multiply
    8,968x = 9,886 × 9,886
  4. Step 4: Simplify right side
    8,968x = 97,732,996
  5. Step 5: Solve for x
    x = 97,732,996/8,968
  6. Step 6: Final answer
    x = 10,897.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.