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Finding the Third Proportional to 12,306.94 and 26,870.06

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Solution

The third proportional to 12,306.94 and 26,870.06 is: 58,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.94 : 26,870.06 = 26,870.06 : x
  2. Step 2: Convert to fraction form
    12,306.94/26,870.06 = 26,870.06/x
  3. Step 3: Cross multiply
    12,306.94x = 26,870.06 × 26,870.06
  4. Step 4: Simplify right side
    12,306.94x = 722,000,258.75
  5. Step 5: Solve for x
    x = 722,000,258.75/12,306.94
  6. Step 6: Final answer
    x = 58,666.12

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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.