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Finding the Third Proportional to 5,596.13 and 7,573.13

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Solution

The third proportional to 5,596.13 and 7,573.13 is: 10,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.13 : 7,573.13 = 7,573.13 : x
  2. Step 2: Convert to fraction form
    5,596.13/7,573.13 = 7,573.13/x
  3. Step 3: Cross multiply
    5,596.13x = 7,573.13 × 7,573.13
  4. Step 4: Simplify right side
    5,596.13x = 57,352,222.27
  5. Step 5: Solve for x
    x = 57,352,222.27/5,596.13
  6. Step 6: Final answer
    x = 10,248.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.