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Finding the Third Proportional to 4,564 and 6,702

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Solution

The third proportional to 4,564 and 6,702 is: 9,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,702 = 6,702 : x
  2. Step 2: Convert to fraction form
    4,564/6,702 = 6,702/x
  3. Step 3: Cross multiply
    4,564x = 6,702 × 6,702
  4. Step 4: Simplify right side
    4,564x = 44,916,804
  5. Step 5: Solve for x
    x = 44,916,804/4,564
  6. Step 6: Final answer
    x = 9,841.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.