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Finding the Third Proportional to 22,376.25 and 29,615.63

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Solution

The third proportional to 22,376.25 and 29,615.63 is: 39,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.25 : 29,615.63 = 29,615.63 : x
  2. Step 2: Convert to fraction form
    22,376.25/29,615.63 = 29,615.63/x
  3. Step 3: Cross multiply
    22,376.25x = 29,615.63 × 29,615.63
  4. Step 4: Simplify right side
    22,376.25x = 877,085,244.14
  5. Step 5: Solve for x
    x = 877,085,244.14/22,376.25
  6. Step 6: Final answer
    x = 39,197.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.