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Finding the Third Proportional to 20,814.47 and 45,509.34

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Solution

The third proportional to 20,814.47 and 45,509.34 is: 99,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.47 : 45,509.34 = 45,509.34 : x
  2. Step 2: Convert to fraction form
    20,814.47/45,509.34 = 45,509.34/x
  3. Step 3: Cross multiply
    20,814.47x = 45,509.34 × 45,509.34
  4. Step 4: Simplify right side
    20,814.47x = 2,071,100,368.56
  5. Step 5: Solve for x
    x = 2,071,100,368.56/20,814.47
  6. Step 6: Final answer
    x = 99,502.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.