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Finding the Third Proportional to 9,070 and 19,229

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Solution

The third proportional to 9,070 and 19,229 is: 40,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070 : 19,229 = 19,229 : x
  2. Step 2: Convert to fraction form
    9,070/19,229 = 19,229/x
  3. Step 3: Cross multiply
    9,070x = 19,229 × 19,229
  4. Step 4: Simplify right side
    9,070x = 369,754,441
  5. Step 5: Solve for x
    x = 369,754,441/9,070
  6. Step 6: Final answer
    x = 40,766.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.