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Finding the Third Proportional to 15,528 and 33,877.50

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Solution

The third proportional to 15,528 and 33,877.50 is: 73,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528 : 33,877.50 = 33,877.50 : x
  2. Step 2: Convert to fraction form
    15,528/33,877.50 = 33,877.50/x
  3. Step 3: Cross multiply
    15,528x = 33,877.50 × 33,877.50
  4. Step 4: Simplify right side
    15,528x = 1,147,685,006.25
  5. Step 5: Solve for x
    x = 1,147,685,006.25/15,528
  6. Step 6: Final answer
    x = 73,910.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.