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Finding the Third Proportional to 10,980.56 and 17,017.59

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Solution

The third proportional to 10,980.56 and 17,017.59 is: 26,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.56 : 17,017.59 = 17,017.59 : x
  2. Step 2: Convert to fraction form
    10,980.56/17,017.59 = 17,017.59/x
  3. Step 3: Cross multiply
    10,980.56x = 17,017.59 × 17,017.59
  4. Step 4: Simplify right side
    10,980.56x = 289,598,497.04
  5. Step 5: Solve for x
    x = 289,598,497.04/10,980.56
  6. Step 6: Final answer
    x = 26,373.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.