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Finding the Third Proportional to 29,828.25 and 41,812.88

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Solution

The third proportional to 29,828.25 and 41,812.88 is: 58,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.25 : 41,812.88 = 41,812.88 : x
  2. Step 2: Convert to fraction form
    29,828.25/41,812.88 = 41,812.88/x
  3. Step 3: Cross multiply
    29,828.25x = 41,812.88 × 41,812.88
  4. Step 4: Simplify right side
    29,828.25x = 1,748,316,515.77
  5. Step 5: Solve for x
    x = 1,748,316,515.77/29,828.25
  6. Step 6: Final answer
    x = 58,612.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.