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Finding the Third Proportional to 11,559 and 27,202.50

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Solution

The third proportional to 11,559 and 27,202.50 is: 64,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 27,202.50 = 27,202.50 : x
  2. Step 2: Convert to fraction form
    11,559/27,202.50 = 27,202.50/x
  3. Step 3: Cross multiply
    11,559x = 27,202.50 × 27,202.50
  4. Step 4: Simplify right side
    11,559x = 739,976,006.25
  5. Step 5: Solve for x
    x = 739,976,006.25/11,559
  6. Step 6: Final answer
    x = 64,017.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.