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Finding the Third Proportional to 22,815 and 48,783

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Solution

The third proportional to 22,815 and 48,783 is: 104,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815 : 48,783 = 48,783 : x
  2. Step 2: Convert to fraction form
    22,815/48,783 = 48,783/x
  3. Step 3: Cross multiply
    22,815x = 48,783 × 48,783
  4. Step 4: Simplify right side
    22,815x = 2,379,781,089
  5. Step 5: Solve for x
    x = 2,379,781,089/22,815
  6. Step 6: Final answer
    x = 104,307.74

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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.