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Finding the Third Proportional to 30,807.84 and 66,225.09

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Solution

The third proportional to 30,807.84 and 66,225.09 is: 142,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.84 : 66,225.09 = 66,225.09 : x
  2. Step 2: Convert to fraction form
    30,807.84/66,225.09 = 66,225.09/x
  3. Step 3: Cross multiply
    30,807.84x = 66,225.09 × 66,225.09
  4. Step 4: Simplify right side
    30,807.84x = 4,385,763,042.20
  5. Step 5: Solve for x
    x = 4,385,763,042.20/30,807.84
  6. Step 6: Final answer
    x = 142,358.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.