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Finding the Third Proportional to 12,129.75 and 26,254.13

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Solution

The third proportional to 12,129.75 and 26,254.13 is: 56,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 26,254.13 = 26,254.13 : x
  2. Step 2: Convert to fraction form
    12,129.75/26,254.13 = 26,254.13/x
  3. Step 3: Cross multiply
    12,129.75x = 26,254.13 × 26,254.13
  4. Step 4: Simplify right side
    12,129.75x = 689,279,079.52
  5. Step 5: Solve for x
    x = 689,279,079.52/12,129.75
  6. Step 6: Final answer
    x = 56,825.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.