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Finding the Third Proportional to 4,254.40 and 6,595.17

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Solution

The third proportional to 4,254.40 and 6,595.17 is: 10,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.40 : 6,595.17 = 6,595.17 : x
  2. Step 2: Convert to fraction form
    4,254.40/6,595.17 = 6,595.17/x
  3. Step 3: Cross multiply
    4,254.40x = 6,595.17 × 6,595.17
  4. Step 4: Simplify right side
    4,254.40x = 43,496,292.06
  5. Step 5: Solve for x
    x = 43,496,292.06/4,254.40
  6. Step 6: Final answer
    x = 10,223.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.