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Finding the Third Proportional to 24,614 and 53,896

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Solution

The third proportional to 24,614 and 53,896 is: 118,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614 : 53,896 = 53,896 : x
  2. Step 2: Convert to fraction form
    24,614/53,896 = 53,896/x
  3. Step 3: Cross multiply
    24,614x = 53,896 × 53,896
  4. Step 4: Simplify right side
    24,614x = 2,904,778,816
  5. Step 5: Solve for x
    x = 2,904,778,816/24,614
  6. Step 6: Final answer
    x = 118,013.28

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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.