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Finding the Third Proportional to 21,328.31 and 32,903.72

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Solution

The third proportional to 21,328.31 and 32,903.72 is: 50,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.31 : 32,903.72 = 32,903.72 : x
  2. Step 2: Convert to fraction form
    21,328.31/32,903.72 = 32,903.72/x
  3. Step 3: Cross multiply
    21,328.31x = 32,903.72 × 32,903.72
  4. Step 4: Simplify right side
    21,328.31x = 1,082,654,707.58
  5. Step 5: Solve for x
    x = 1,082,654,707.58/21,328.31
  6. Step 6: Final answer
    x = 50,761.39

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Why These Related Problems?

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