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Finding the Third Proportional to 12,738 and 28,066

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Solution

The third proportional to 12,738 and 28,066 is: 61,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738 : 28,066 = 28,066 : x
  2. Step 2: Convert to fraction form
    12,738/28,066 = 28,066/x
  3. Step 3: Cross multiply
    12,738x = 28,066 × 28,066
  4. Step 4: Simplify right side
    12,738x = 787,700,356
  5. Step 5: Solve for x
    x = 787,700,356/12,738
  6. Step 6: Final answer
    x = 61,838.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.