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Finding the Third Proportional to 30,709.13 and 56,805.05

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Solution

The third proportional to 30,709.13 and 56,805.05 is: 105,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 56,805.05 = 56,805.05 : x
  2. Step 2: Convert to fraction form
    30,709.13/56,805.05 = 56,805.05/x
  3. Step 3: Cross multiply
    30,709.13x = 56,805.05 × 56,805.05
  4. Step 4: Simplify right side
    30,709.13x = 3,226,813,350.47
  5. Step 5: Solve for x
    x = 3,226,813,350.47/30,709.13
  6. Step 6: Final answer
    x = 105,076.69

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.