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Finding the Third Proportional to 30,730.64 and 62,588.95

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Solution

The third proportional to 30,730.64 and 62,588.95 is: 127,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.64 : 62,588.95 = 62,588.95 : x
  2. Step 2: Convert to fraction form
    30,730.64/62,588.95 = 62,588.95/x
  3. Step 3: Cross multiply
    30,730.64x = 62,588.95 × 62,588.95
  4. Step 4: Simplify right side
    30,730.64x = 3,917,377,053.28
  5. Step 5: Solve for x
    x = 3,917,377,053.28/30,730.64
  6. Step 6: Final answer
    x = 127,474.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.