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Finding the Third Proportional to 30,623.19 and 72,050.75

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Solution

The third proportional to 30,623.19 and 72,050.75 is: 169,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.19 : 72,050.75 = 72,050.75 : x
  2. Step 2: Convert to fraction form
    30,623.19/72,050.75 = 72,050.75/x
  3. Step 3: Cross multiply
    30,623.19x = 72,050.75 × 72,050.75
  4. Step 4: Simplify right side
    30,623.19x = 5,191,310,575.56
  5. Step 5: Solve for x
    x = 5,191,310,575.56/30,623.19
  6. Step 6: Final answer
    x = 169,522.22

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.