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Finding the Third Proportional to 3,207 and 4,737

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Solution

The third proportional to 3,207 and 4,737 is: 6,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 4,737 = 4,737 : x
  2. Step 2: Convert to fraction form
    3,207/4,737 = 4,737/x
  3. Step 3: Cross multiply
    3,207x = 4,737 × 4,737
  4. Step 4: Simplify right side
    3,207x = 22,439,169
  5. Step 5: Solve for x
    x = 22,439,169/3,207
  6. Step 6: Final answer
    x = 6,996.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.