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Finding the Third Proportional to 25,336 and 53,953

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Solution

The third proportional to 25,336 and 53,953 is: 114,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336 : 53,953 = 53,953 : x
  2. Step 2: Convert to fraction form
    25,336/53,953 = 53,953/x
  3. Step 3: Cross multiply
    25,336x = 53,953 × 53,953
  4. Step 4: Simplify right side
    25,336x = 2,910,926,209
  5. Step 5: Solve for x
    x = 2,910,926,209/25,336
  6. Step 6: Final answer
    x = 114,892.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.