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Finding the Third Proportional to 10,708 and 23,464

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Solution

The third proportional to 10,708 and 23,464 is: 51,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708 : 23,464 = 23,464 : x
  2. Step 2: Convert to fraction form
    10,708/23,464 = 23,464/x
  3. Step 3: Cross multiply
    10,708x = 23,464 × 23,464
  4. Step 4: Simplify right side
    10,708x = 550,559,296
  5. Step 5: Solve for x
    x = 550,559,296/10,708
  6. Step 6: Final answer
    x = 51,415.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.