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Finding the Third Proportional to 5,473 and 7,970

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Solution

The third proportional to 5,473 and 7,970 is: 11,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    5,473/7,970 = 7,970/x
  3. Step 3: Cross multiply
    5,473x = 7,970 × 7,970
  4. Step 4: Simplify right side
    5,473x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/5,473
  6. Step 6: Final answer
    x = 11,606.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.