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Finding the Third Proportional to 4,254 and 6,409

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Solution

The third proportional to 4,254 and 6,409 is: 9,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254 : 6,409 = 6,409 : x
  2. Step 2: Convert to fraction form
    4,254/6,409 = 6,409/x
  3. Step 3: Cross multiply
    4,254x = 6,409 × 6,409
  4. Step 4: Simplify right side
    4,254x = 41,075,281
  5. Step 5: Solve for x
    x = 41,075,281/4,254
  6. Step 6: Final answer
    x = 9,655.68

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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.