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Finding the Third Proportional to 4,664 and 10,364

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Solution

The third proportional to 4,664 and 10,364 is: 23,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664 : 10,364 = 10,364 : x
  2. Step 2: Convert to fraction form
    4,664/10,364 = 10,364/x
  3. Step 3: Cross multiply
    4,664x = 10,364 × 10,364
  4. Step 4: Simplify right side
    4,664x = 107,412,496
  5. Step 5: Solve for x
    x = 107,412,496/4,664
  6. Step 6: Final answer
    x = 23,030.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.