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Finding the Third Proportional to 12,605.63 and 27,442.13

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Solution

The third proportional to 12,605.63 and 27,442.13 is: 59,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.63 : 27,442.13 = 27,442.13 : x
  2. Step 2: Convert to fraction form
    12,605.63/27,442.13 = 27,442.13/x
  3. Step 3: Cross multiply
    12,605.63x = 27,442.13 × 27,442.13
  4. Step 4: Simplify right side
    12,605.63x = 753,070,224.52
  5. Step 5: Solve for x
    x = 753,070,224.52/12,605.63
  6. Step 6: Final answer
    x = 59,740.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.