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Finding the Third Proportional to 4,106.32 and 6,434.28

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Solution

The third proportional to 4,106.32 and 6,434.28 is: 10,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.32 : 6,434.28 = 6,434.28 : x
  2. Step 2: Convert to fraction form
    4,106.32/6,434.28 = 6,434.28/x
  3. Step 3: Cross multiply
    4,106.32x = 6,434.28 × 6,434.28
  4. Step 4: Simplify right side
    4,106.32x = 41,399,950.07
  5. Step 5: Solve for x
    x = 41,399,950.07/4,106.32
  6. Step 6: Final answer
    x = 10,082.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.