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Finding the Third Proportional to 35,501.25 and 53,343

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Solution

The third proportional to 35,501.25 and 53,343 is: 80,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,501.25 : 53,343 = 53,343 : x
  2. Step 2: Convert to fraction form
    35,501.25/53,343 = 53,343/x
  3. Step 3: Cross multiply
    35,501.25x = 53,343 × 53,343
  4. Step 4: Simplify right side
    35,501.25x = 2,845,475,649
  5. Step 5: Solve for x
    x = 2,845,475,649/35,501.25
  6. Step 6: Final answer
    x = 80,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.