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Finding the Third Proportional to 9,006 and 19,312

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Solution

The third proportional to 9,006 and 19,312 is: 41,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006 : 19,312 = 19,312 : x
  2. Step 2: Convert to fraction form
    9,006/19,312 = 19,312/x
  3. Step 3: Cross multiply
    9,006x = 19,312 × 19,312
  4. Step 4: Simplify right side
    9,006x = 372,953,344
  5. Step 5: Solve for x
    x = 372,953,344/9,006
  6. Step 6: Final answer
    x = 41,411.65

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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.