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Finding the Third Proportional to 22,946.63 and 48,650.63

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Solution

The third proportional to 22,946.63 and 48,650.63 is: 103,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.63 : 48,650.63 = 48,650.63 : x
  2. Step 2: Convert to fraction form
    22,946.63/48,650.63 = 48,650.63/x
  3. Step 3: Cross multiply
    22,946.63x = 48,650.63 × 48,650.63
  4. Step 4: Simplify right side
    22,946.63x = 2,366,883,312.89
  5. Step 5: Solve for x
    x = 2,366,883,312.89/22,946.63
  6. Step 6: Final answer
    x = 103,147.34

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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.