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Finding the Third Proportional to 21,186 and 45,703.50

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Solution

The third proportional to 21,186 and 45,703.50 is: 98,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186 : 45,703.50 = 45,703.50 : x
  2. Step 2: Convert to fraction form
    21,186/45,703.50 = 45,703.50/x
  3. Step 3: Cross multiply
    21,186x = 45,703.50 × 45,703.50
  4. Step 4: Simplify right side
    21,186x = 2,088,809,912.25
  5. Step 5: Solve for x
    x = 2,088,809,912.25/21,186
  6. Step 6: Final answer
    x = 98,593.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.