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Finding the Third Proportional to 34,542.50 and 53,341

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Solution

The third proportional to 34,542.50 and 53,341 is: 82,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.50 : 53,341 = 53,341 : x
  2. Step 2: Convert to fraction form
    34,542.50/53,341 = 53,341/x
  3. Step 3: Cross multiply
    34,542.50x = 53,341 × 53,341
  4. Step 4: Simplify right side
    34,542.50x = 2,845,262,281
  5. Step 5: Solve for x
    x = 2,845,262,281/34,542.50
  6. Step 6: Final answer
    x = 82,369.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.