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Finding the Third Proportional to 9,054 and 19,341

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Solution

The third proportional to 9,054 and 19,341 is: 41,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 19,341 = 19,341 : x
  2. Step 2: Convert to fraction form
    9,054/19,341 = 19,341/x
  3. Step 3: Cross multiply
    9,054x = 19,341 × 19,341
  4. Step 4: Simplify right side
    9,054x = 374,074,281
  5. Step 5: Solve for x
    x = 374,074,281/9,054
  6. Step 6: Final answer
    x = 41,315.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.