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Finding the Third Proportional to 24,698 and 53,288

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Solution

The third proportional to 24,698 and 53,288 is: 114,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698 : 53,288 = 53,288 : x
  2. Step 2: Convert to fraction form
    24,698/53,288 = 53,288/x
  3. Step 3: Cross multiply
    24,698x = 53,288 × 53,288
  4. Step 4: Simplify right side
    24,698x = 2,839,610,944
  5. Step 5: Solve for x
    x = 2,839,610,944/24,698
  6. Step 6: Final answer
    x = 114,973.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.