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Finding the Third Proportional to 4,133 and 6,402

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Solution

The third proportional to 4,133 and 6,402 is: 9,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133 : 6,402 = 6,402 : x
  2. Step 2: Convert to fraction form
    4,133/6,402 = 6,402/x
  3. Step 3: Cross multiply
    4,133x = 6,402 × 6,402
  4. Step 4: Simplify right side
    4,133x = 40,985,604
  5. Step 5: Solve for x
    x = 40,985,604/4,133
  6. Step 6: Final answer
    x = 9,916.67

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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.