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Finding the Third Proportional to 22,929.75 and 47,287.13

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Solution

The third proportional to 22,929.75 and 47,287.13 is: 97,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.75 : 47,287.13 = 47,287.13 : x
  2. Step 2: Convert to fraction form
    22,929.75/47,287.13 = 47,287.13/x
  3. Step 3: Cross multiply
    22,929.75x = 47,287.13 × 47,287.13
  4. Step 4: Simplify right side
    22,929.75x = 2,236,072,190.77
  5. Step 5: Solve for x
    x = 2,236,072,190.77/22,929.75
  6. Step 6: Final answer
    x = 97,518.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.