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Finding the Third Proportional to 34,548.19 and 72,577.69

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Solution

The third proportional to 34,548.19 and 72,577.69 is: 152,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,548.19 : 72,577.69 = 72,577.69 : x
  2. Step 2: Convert to fraction form
    34,548.19/72,577.69 = 72,577.69/x
  3. Step 3: Cross multiply
    34,548.19x = 72,577.69 × 72,577.69
  4. Step 4: Simplify right side
    34,548.19x = 5,267,520,722.85
  5. Step 5: Solve for x
    x = 5,267,520,722.85/34,548.19
  6. Step 6: Final answer
    x = 152,468.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.