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Finding the Third Proportional to 7,083.56 and 15,539.06

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Solution

The third proportional to 7,083.56 and 15,539.06 is: 34,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.56 : 15,539.06 = 15,539.06 : x
  2. Step 2: Convert to fraction form
    7,083.56/15,539.06 = 15,539.06/x
  3. Step 3: Cross multiply
    7,083.56x = 15,539.06 × 15,539.06
  4. Step 4: Simplify right side
    7,083.56x = 241,462,463.38
  5. Step 5: Solve for x
    x = 241,462,463.38/7,083.56
  6. Step 6: Final answer
    x = 34,087.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.