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Finding the Third Proportional to 20,089.13 and 30,315.94

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Solution

The third proportional to 20,089.13 and 30,315.94 is: 45,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.13 : 30,315.94 = 30,315.94 : x
  2. Step 2: Convert to fraction form
    20,089.13/30,315.94 = 30,315.94/x
  3. Step 3: Cross multiply
    20,089.13x = 30,315.94 × 30,315.94
  4. Step 4: Simplify right side
    20,089.13x = 919,056,066.50
  5. Step 5: Solve for x
    x = 919,056,066.50/20,089.13
  6. Step 6: Final answer
    x = 45,748.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.