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Finding the Third Proportional to 11,417 and 25,021

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Solution

The third proportional to 11,417 and 25,021 is: 54,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 25,021 = 25,021 : x
  2. Step 2: Convert to fraction form
    11,417/25,021 = 25,021/x
  3. Step 3: Cross multiply
    11,417x = 25,021 × 25,021
  4. Step 4: Simplify right side
    11,417x = 626,050,441
  5. Step 5: Solve for x
    x = 626,050,441/11,417
  6. Step 6: Final answer
    x = 54,834.93

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1.5x scale

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.