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Finding the Third Proportional to 53,044 and 69,716

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Solution

The third proportional to 53,044 and 69,716 is: 91,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,044 : 69,716 = 69,716 : x
  2. Step 2: Convert to fraction form
    53,044/69,716 = 69,716/x
  3. Step 3: Cross multiply
    53,044x = 69,716 × 69,716
  4. Step 4: Simplify right side
    53,044x = 4,860,320,656
  5. Step 5: Solve for x
    x = 4,860,320,656/53,044
  6. Step 6: Final answer
    x = 91,628.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.