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Finding the Third Proportional to 30,820.50 and 72,019.13

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Solution

The third proportional to 30,820.50 and 72,019.13 is: 168,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 72,019.13 = 72,019.13 : x
  2. Step 2: Convert to fraction form
    30,820.50/72,019.13 = 72,019.13/x
  3. Step 3: Cross multiply
    30,820.50x = 72,019.13 × 72,019.13
  4. Step 4: Simplify right side
    30,820.50x = 5,186,754,365.77
  5. Step 5: Solve for x
    x = 5,186,754,365.77/30,820.50
  6. Step 6: Final answer
    x = 168,289.11

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.