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Finding the Third Proportional to 9,011.25 and 19,561.50

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Solution

The third proportional to 9,011.25 and 19,561.50 is: 42,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.25 : 19,561.50 = 19,561.50 : x
  2. Step 2: Convert to fraction form
    9,011.25/19,561.50 = 19,561.50/x
  3. Step 3: Cross multiply
    9,011.25x = 19,561.50 × 19,561.50
  4. Step 4: Simplify right side
    9,011.25x = 382,652,282.25
  5. Step 5: Solve for x
    x = 382,652,282.25/9,011.25
  6. Step 6: Final answer
    x = 42,463.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.