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Finding the Third Proportional to 9,140 and 13,778

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Solution

The third proportional to 9,140 and 13,778 is: 20,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140 : 13,778 = 13,778 : x
  2. Step 2: Convert to fraction form
    9,140/13,778 = 13,778/x
  3. Step 3: Cross multiply
    9,140x = 13,778 × 13,778
  4. Step 4: Simplify right side
    9,140x = 189,833,284
  5. Step 5: Solve for x
    x = 189,833,284/9,140
  6. Step 6: Final answer
    x = 20,769.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.