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Finding the Third Proportional to 13,768 and 22,778

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Solution

The third proportional to 13,768 and 22,778 is: 37,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 22,778 = 22,778 : x
  2. Step 2: Convert to fraction form
    13,768/22,778 = 22,778/x
  3. Step 3: Cross multiply
    13,768x = 22,778 × 22,778
  4. Step 4: Simplify right side
    13,768x = 518,837,284
  5. Step 5: Solve for x
    x = 518,837,284/13,768
  6. Step 6: Final answer
    x = 37,684.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.