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Finding the Third Proportional to 4,964 and 6,470

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Solution

The third proportional to 4,964 and 6,470 is: 8,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964 : 6,470 = 6,470 : x
  2. Step 2: Convert to fraction form
    4,964/6,470 = 6,470/x
  3. Step 3: Cross multiply
    4,964x = 6,470 × 6,470
  4. Step 4: Simplify right side
    4,964x = 41,860,900
  5. Step 5: Solve for x
    x = 41,860,900/4,964
  6. Step 6: Final answer
    x = 8,432.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.