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Finding the Third Proportional to 22,937.63 and 48,631.88

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Solution

The third proportional to 22,937.63 and 48,631.88 is: 103,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.63 : 48,631.88 = 48,631.88 : x
  2. Step 2: Convert to fraction form
    22,937.63/48,631.88 = 48,631.88/x
  3. Step 3: Cross multiply
    22,937.63x = 48,631.88 × 48,631.88
  4. Step 4: Simplify right side
    22,937.63x = 2,365,059,266.02
  5. Step 5: Solve for x
    x = 2,365,059,266.02/22,937.63
  6. Step 6: Final answer
    x = 103,108.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.