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Finding the Third Proportional to 4,664 and 10,712

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Solution

The third proportional to 4,664 and 10,712 is: 24,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664 : 10,712 = 10,712 : x
  2. Step 2: Convert to fraction form
    4,664/10,712 = 10,712/x
  3. Step 3: Cross multiply
    4,664x = 10,712 × 10,712
  4. Step 4: Simplify right side
    4,664x = 114,746,944
  5. Step 5: Solve for x
    x = 114,746,944/4,664
  6. Step 6: Final answer
    x = 24,602.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.