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Finding the Third Proportional to 53,050 and 69,725

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Solution

The third proportional to 53,050 and 69,725 is: 91,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,050 : 69,725 = 69,725 : x
  2. Step 2: Convert to fraction form
    53,050/69,725 = 69,725/x
  3. Step 3: Cross multiply
    53,050x = 69,725 × 69,725
  4. Step 4: Simplify right side
    53,050x = 4,861,575,625
  5. Step 5: Solve for x
    x = 4,861,575,625/53,050
  6. Step 6: Final answer
    x = 91,641.39

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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.