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Finding the Third Proportional to 12,626.63 and 18,695.63

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Solution

The third proportional to 12,626.63 and 18,695.63 is: 27,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.63 : 18,695.63 = 18,695.63 : x
  2. Step 2: Convert to fraction form
    12,626.63/18,695.63 = 18,695.63/x
  3. Step 3: Cross multiply
    12,626.63x = 18,695.63 × 18,695.63
  4. Step 4: Simplify right side
    12,626.63x = 349,526,394.14
  5. Step 5: Solve for x
    x = 349,526,394.14/12,626.63
  6. Step 6: Final answer
    x = 27,681.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.