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Finding the Third Proportional to 30,623 and 45,935

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Solution

The third proportional to 30,623 and 45,935 is: 68,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623 : 45,935 = 45,935 : x
  2. Step 2: Convert to fraction form
    30,623/45,935 = 45,935/x
  3. Step 3: Cross multiply
    30,623x = 45,935 × 45,935
  4. Step 4: Simplify right side
    30,623x = 2,110,024,225
  5. Step 5: Solve for x
    x = 2,110,024,225/30,623
  6. Step 6: Final answer
    x = 68,903.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.