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Finding the Third Proportional to 30,763.23 and 67,220.35

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Solution

The third proportional to 30,763.23 and 67,220.35 is: 146,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.23 : 67,220.35 = 67,220.35 : x
  2. Step 2: Convert to fraction form
    30,763.23/67,220.35 = 67,220.35/x
  3. Step 3: Cross multiply
    30,763.23x = 67,220.35 × 67,220.35
  4. Step 4: Simplify right side
    30,763.23x = 4,518,575,401.61
  5. Step 5: Solve for x
    x = 4,518,575,401.61/30,763.23
  6. Step 6: Final answer
    x = 146,882.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.