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Finding the Third Proportional to 20,457.56 and 31,233.09

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Solution

The third proportional to 20,457.56 and 31,233.09 is: 47,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.56 : 31,233.09 = 31,233.09 : x
  2. Step 2: Convert to fraction form
    20,457.56/31,233.09 = 31,233.09/x
  3. Step 3: Cross multiply
    20,457.56x = 31,233.09 × 31,233.09
  4. Step 4: Simplify right side
    20,457.56x = 975,506,145.20
  5. Step 5: Solve for x
    x = 975,506,145.20/20,457.56
  6. Step 6: Final answer
    x = 47,684.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.