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Finding the Third Proportional to 6,894 and 7,470

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Solution

The third proportional to 6,894 and 7,470 is: 8,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 7,470 = 7,470 : x
  2. Step 2: Convert to fraction form
    6,894/7,470 = 7,470/x
  3. Step 3: Cross multiply
    6,894x = 7,470 × 7,470
  4. Step 4: Simplify right side
    6,894x = 55,800,900
  5. Step 5: Solve for x
    x = 55,800,900/6,894
  6. Step 6: Final answer
    x = 8,094.13

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.