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Finding the Third Proportional to 6,076 and 8,888

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Solution

The third proportional to 6,076 and 8,888 is: 13,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 8,888 = 8,888 : x
  2. Step 2: Convert to fraction form
    6,076/8,888 = 8,888/x
  3. Step 3: Cross multiply
    6,076x = 8,888 × 8,888
  4. Step 4: Simplify right side
    6,076x = 78,996,544
  5. Step 5: Solve for x
    x = 78,996,544/6,076
  6. Step 6: Final answer
    x = 13,001.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.