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Finding the Third Proportional to 11,259 and 19,824.75

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Solution

The third proportional to 11,259 and 19,824.75 is: 34,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 19,824.75 = 19,824.75 : x
  2. Step 2: Convert to fraction form
    11,259/19,824.75 = 19,824.75/x
  3. Step 3: Cross multiply
    11,259x = 19,824.75 × 19,824.75
  4. Step 4: Simplify right side
    11,259x = 393,020,712.56
  5. Step 5: Solve for x
    x = 393,020,712.56/11,259
  6. Step 6: Final answer
    x = 34,907.25

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.