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Finding the Third Proportional to 30,264.05 and 59,753.11

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Solution

The third proportional to 30,264.05 and 59,753.11 is: 117,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.05 : 59,753.11 = 59,753.11 : x
  2. Step 2: Convert to fraction form
    30,264.05/59,753.11 = 59,753.11/x
  3. Step 3: Cross multiply
    30,264.05x = 59,753.11 × 59,753.11
  4. Step 4: Simplify right side
    30,264.05x = 3,570,434,079.98
  5. Step 5: Solve for x
    x = 3,570,434,079.98/30,264.05
  6. Step 6: Final answer
    x = 117,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.