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Finding the Third Proportional to 12,309.47 and 26,562.94

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Solution

The third proportional to 12,309.47 and 26,562.94 is: 57,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.47 : 26,562.94 = 26,562.94 : x
  2. Step 2: Convert to fraction form
    12,309.47/26,562.94 = 26,562.94/x
  3. Step 3: Cross multiply
    12,309.47x = 26,562.94 × 26,562.94
  4. Step 4: Simplify right side
    12,309.47x = 705,589,648.63
  5. Step 5: Solve for x
    x = 705,589,648.63/12,309.47
  6. Step 6: Final answer
    x = 57,320.89

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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.