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Finding the Third Proportional to 21,885.19 and 32,128.31

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Solution

The third proportional to 21,885.19 and 32,128.31 is: 47,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.19 : 32,128.31 = 32,128.31 : x
  2. Step 2: Convert to fraction form
    21,885.19/32,128.31 = 32,128.31/x
  3. Step 3: Cross multiply
    21,885.19x = 32,128.31 × 32,128.31
  4. Step 4: Simplify right side
    21,885.19x = 1,032,228,464.10
  5. Step 5: Solve for x
    x = 1,032,228,464.10/21,885.19
  6. Step 6: Final answer
    x = 47,165.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.