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Finding the Third Proportional to 4,322.74 and 5,595.64

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Solution

The third proportional to 4,322.74 and 5,595.64 is: 7,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.74 : 5,595.64 = 5,595.64 : x
  2. Step 2: Convert to fraction form
    4,322.74/5,595.64 = 5,595.64/x
  3. Step 3: Cross multiply
    4,322.74x = 5,595.64 × 5,595.64
  4. Step 4: Simplify right side
    4,322.74x = 31,311,237.72
  5. Step 5: Solve for x
    x = 31,311,237.72/4,322.74
  6. Step 6: Final answer
    x = 7,243.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.