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Finding the Third Proportional to 30,461.06 and 73,378.41

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Solution

The third proportional to 30,461.06 and 73,378.41 is: 176,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.06 : 73,378.41 = 73,378.41 : x
  2. Step 2: Convert to fraction form
    30,461.06/73,378.41 = 73,378.41/x
  3. Step 3: Cross multiply
    30,461.06x = 73,378.41 × 73,378.41
  4. Step 4: Simplify right side
    30,461.06x = 5,384,390,503.79
  5. Step 5: Solve for x
    x = 5,384,390,503.79/30,461.06
  6. Step 6: Final answer
    x = 176,763.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.