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Finding the Third Proportional to 5,746 and 12,970

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Solution

The third proportional to 5,746 and 12,970 is: 29,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 12,970 = 12,970 : x
  2. Step 2: Convert to fraction form
    5,746/12,970 = 12,970/x
  3. Step 3: Cross multiply
    5,746x = 12,970 × 12,970
  4. Step 4: Simplify right side
    5,746x = 168,220,900
  5. Step 5: Solve for x
    x = 168,220,900/5,746
  6. Step 6: Final answer
    x = 29,276.17

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.