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Finding the Third Proportional to 33,528 and 49,507

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Solution

The third proportional to 33,528 and 49,507 is: 73,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528 : 49,507 = 49,507 : x
  2. Step 2: Convert to fraction form
    33,528/49,507 = 49,507/x
  3. Step 3: Cross multiply
    33,528x = 49,507 × 49,507
  4. Step 4: Simplify right side
    33,528x = 2,450,943,049
  5. Step 5: Solve for x
    x = 2,450,943,049/33,528
  6. Step 6: Final answer
    x = 73,101.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.