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Finding the Third Proportional to 29,963.25 and 64,600.88

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Solution

The third proportional to 29,963.25 and 64,600.88 is: 139,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963.25 : 64,600.88 = 64,600.88 : x
  2. Step 2: Convert to fraction form
    29,963.25/64,600.88 = 64,600.88/x
  3. Step 3: Cross multiply
    29,963.25x = 64,600.88 × 64,600.88
  4. Step 4: Simplify right side
    29,963.25x = 4,173,273,050.77
  5. Step 5: Solve for x
    x = 4,173,273,050.77/29,963.25
  6. Step 6: Final answer
    x = 139,279.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.