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Finding the Third Proportional to 52,417 and 69,835

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Solution

The third proportional to 52,417 and 69,835 is: 93,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,417 : 69,835 = 69,835 : x
  2. Step 2: Convert to fraction form
    52,417/69,835 = 69,835/x
  3. Step 3: Cross multiply
    52,417x = 69,835 × 69,835
  4. Step 4: Simplify right side
    52,417x = 4,876,927,225
  5. Step 5: Solve for x
    x = 4,876,927,225/52,417
  6. Step 6: Final answer
    x = 93,040.95

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.