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Finding the Third Proportional to 4,319 and 6,429

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Solution

The third proportional to 4,319 and 6,429 is: 9,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319 : 6,429 = 6,429 : x
  2. Step 2: Convert to fraction form
    4,319/6,429 = 6,429/x
  3. Step 3: Cross multiply
    4,319x = 6,429 × 6,429
  4. Step 4: Simplify right side
    4,319x = 41,332,041
  5. Step 5: Solve for x
    x = 41,332,041/4,319
  6. Step 6: Final answer
    x = 9,569.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.