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Finding the Third Proportional to 21,771 and 29,416.50

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Solution

The third proportional to 21,771 and 29,416.50 is: 39,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771 : 29,416.50 = 29,416.50 : x
  2. Step 2: Convert to fraction form
    21,771/29,416.50 = 29,416.50/x
  3. Step 3: Cross multiply
    21,771x = 29,416.50 × 29,416.50
  4. Step 4: Simplify right side
    21,771x = 865,330,472.25
  5. Step 5: Solve for x
    x = 865,330,472.25/21,771
  6. Step 6: Final answer
    x = 39,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.