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Finding the Third Proportional to 20,301.05 and 31,244.06

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Solution

The third proportional to 20,301.05 and 31,244.06 is: 48,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.05 : 31,244.06 = 31,244.06 : x
  2. Step 2: Convert to fraction form
    20,301.05/31,244.06 = 31,244.06/x
  3. Step 3: Cross multiply
    20,301.05x = 31,244.06 × 31,244.06
  4. Step 4: Simplify right side
    20,301.05x = 976,191,441.50
  5. Step 5: Solve for x
    x = 976,191,441.50/20,301.05
  6. Step 6: Final answer
    x = 48,085.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.