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Finding the Third Proportional to 23,160 and 50,461.50

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Solution

The third proportional to 23,160 and 50,461.50 is: 109,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 50,461.50 = 50,461.50 : x
  2. Step 2: Convert to fraction form
    23,160/50,461.50 = 50,461.50/x
  3. Step 3: Cross multiply
    23,160x = 50,461.50 × 50,461.50
  4. Step 4: Simplify right side
    23,160x = 2,546,362,982.25
  5. Step 5: Solve for x
    x = 2,546,362,982.25/23,160
  6. Step 6: Final answer
    x = 109,946.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.