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Finding the Third Proportional to 7,005.23 and 10,559.11

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Solution

The third proportional to 7,005.23 and 10,559.11 is: 15,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.23 : 10,559.11 = 10,559.11 : x
  2. Step 2: Convert to fraction form
    7,005.23/10,559.11 = 10,559.11/x
  3. Step 3: Cross multiply
    7,005.23x = 10,559.11 × 10,559.11
  4. Step 4: Simplify right side
    7,005.23x = 111,494,790.79
  5. Step 5: Solve for x
    x = 111,494,790.79/7,005.23
  6. Step 6: Final answer
    x = 15,915.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.