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Finding the Third Proportional to 7,012 and 9,810

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Solution

The third proportional to 7,012 and 9,810 is: 13,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 9,810 = 9,810 : x
  2. Step 2: Convert to fraction form
    7,012/9,810 = 9,810/x
  3. Step 3: Cross multiply
    7,012x = 9,810 × 9,810
  4. Step 4: Simplify right side
    7,012x = 96,236,100
  5. Step 5: Solve for x
    x = 96,236,100/7,012
  6. Step 6: Final answer
    x = 13,724.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.