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Finding the Third Proportional to 4,716 and 10,470

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Solution

The third proportional to 4,716 and 10,470 is: 23,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 10,470 = 10,470 : x
  2. Step 2: Convert to fraction form
    4,716/10,470 = 10,470/x
  3. Step 3: Cross multiply
    4,716x = 10,470 × 10,470
  4. Step 4: Simplify right side
    4,716x = 109,620,900
  5. Step 5: Solve for x
    x = 109,620,900/4,716
  6. Step 6: Final answer
    x = 23,244.47

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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.