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Finding the Third Proportional to 4,598 and 6,429

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Solution

The third proportional to 4,598 and 6,429 is: 8,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598 : 6,429 = 6,429 : x
  2. Step 2: Convert to fraction form
    4,598/6,429 = 6,429/x
  3. Step 3: Cross multiply
    4,598x = 6,429 × 6,429
  4. Step 4: Simplify right side
    4,598x = 41,332,041
  5. Step 5: Solve for x
    x = 41,332,041/4,598
  6. Step 6: Final answer
    x = 8,989.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.