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Finding the Third Proportional to 11,528 and 25,226.50

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Solution

The third proportional to 11,528 and 25,226.50 is: 55,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528 : 25,226.50 = 25,226.50 : x
  2. Step 2: Convert to fraction form
    11,528/25,226.50 = 25,226.50/x
  3. Step 3: Cross multiply
    11,528x = 25,226.50 × 25,226.50
  4. Step 4: Simplify right side
    11,528x = 636,376,302.25
  5. Step 5: Solve for x
    x = 636,376,302.25/11,528
  6. Step 6: Final answer
    x = 55,202.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.