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Finding the Third Proportional to 20,421.19 and 31,232.53

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Solution

The third proportional to 20,421.19 and 31,232.53 is: 47,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.19 : 31,232.53 = 31,232.53 : x
  2. Step 2: Convert to fraction form
    20,421.19/31,232.53 = 31,232.53/x
  3. Step 3: Cross multiply
    20,421.19x = 31,232.53 × 31,232.53
  4. Step 4: Simplify right side
    20,421.19x = 975,471,008.28
  5. Step 5: Solve for x
    x = 975,471,008.28/20,421.19
  6. Step 6: Final answer
    x = 47,767.59

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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.