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Finding the Third Proportional to 7,710 and 15,967

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Solution

The third proportional to 7,710 and 15,967 is: 33,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710 : 15,967 = 15,967 : x
  2. Step 2: Convert to fraction form
    7,710/15,967 = 15,967/x
  3. Step 3: Cross multiply
    7,710x = 15,967 × 15,967
  4. Step 4: Simplify right side
    7,710x = 254,945,089
  5. Step 5: Solve for x
    x = 254,945,089/7,710
  6. Step 6: Final answer
    x = 33,066.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.