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Finding the Third Proportional to 52,825 and 72,430

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Solution

The third proportional to 52,825 and 72,430 is: 99,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,825 : 72,430 = 72,430 : x
  2. Step 2: Convert to fraction form
    52,825/72,430 = 72,430/x
  3. Step 3: Cross multiply
    52,825x = 72,430 × 72,430
  4. Step 4: Simplify right side
    52,825x = 5,246,104,900
  5. Step 5: Solve for x
    x = 5,246,104,900/52,825
  6. Step 6: Final answer
    x = 99,311.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.