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Finding the Third Proportional to 10,708 and 23,710

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Solution

The third proportional to 10,708 and 23,710 is: 52,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708 : 23,710 = 23,710 : x
  2. Step 2: Convert to fraction form
    10,708/23,710 = 23,710/x
  3. Step 3: Cross multiply
    10,708x = 23,710 × 23,710
  4. Step 4: Simplify right side
    10,708x = 562,164,100
  5. Step 5: Solve for x
    x = 562,164,100/10,708
  6. Step 6: Final answer
    x = 52,499.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.