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Finding the Third Proportional to 53,349 and 71,595

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Solution

The third proportional to 53,349 and 71,595 is: 96,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,349 : 71,595 = 71,595 : x
  2. Step 2: Convert to fraction form
    53,349/71,595 = 71,595/x
  3. Step 3: Cross multiply
    53,349x = 71,595 × 71,595
  4. Step 4: Simplify right side
    53,349x = 5,125,844,025
  5. Step 5: Solve for x
    x = 5,125,844,025/53,349
  6. Step 6: Final answer
    x = 96,081.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.