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Finding the Third Proportional to 27,017.30 and 58,706.65

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Solution

The third proportional to 27,017.30 and 58,706.65 is: 127,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017.30 : 58,706.65 = 58,706.65 : x
  2. Step 2: Convert to fraction form
    27,017.30/58,706.65 = 58,706.65/x
  3. Step 3: Cross multiply
    27,017.30x = 58,706.65 × 58,706.65
  4. Step 4: Simplify right side
    27,017.30x = 3,446,470,570.76
  5. Step 5: Solve for x
    x = 3,446,470,570.76/27,017.30
  6. Step 6: Final answer
    x = 127,565.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.