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Finding the Third Proportional to 23,830.13 and 47,061.75

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Solution

The third proportional to 23,830.13 and 47,061.75 is: 92,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.13 : 47,061.75 = 47,061.75 : x
  2. Step 2: Convert to fraction form
    23,830.13/47,061.75 = 47,061.75/x
  3. Step 3: Cross multiply
    23,830.13x = 47,061.75 × 47,061.75
  4. Step 4: Simplify right side
    23,830.13x = 2,214,808,313.06
  5. Step 5: Solve for x
    x = 2,214,808,313.06/23,830.13
  6. Step 6: Final answer
    x = 92,941.53

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.