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Finding the Third Proportional to 9,737 and 13,778

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Solution

The third proportional to 9,737 and 13,778 is: 19,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737 : 13,778 = 13,778 : x
  2. Step 2: Convert to fraction form
    9,737/13,778 = 13,778/x
  3. Step 3: Cross multiply
    9,737x = 13,778 × 13,778
  4. Step 4: Simplify right side
    9,737x = 189,833,284
  5. Step 5: Solve for x
    x = 189,833,284/9,737
  6. Step 6: Final answer
    x = 19,496.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.