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Finding the Third Proportional to 6,699 and 9,853

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Solution

The third proportional to 6,699 and 9,853 is: 14,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699 : 9,853 = 9,853 : x
  2. Step 2: Convert to fraction form
    6,699/9,853 = 9,853/x
  3. Step 3: Cross multiply
    6,699x = 9,853 × 9,853
  4. Step 4: Simplify right side
    6,699x = 97,081,609
  5. Step 5: Solve for x
    x = 97,081,609/6,699
  6. Step 6: Final answer
    x = 14,491.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.