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Finding the Third Proportional to 14,147.16 and 21,528.28

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Solution

The third proportional to 14,147.16 and 21,528.28 is: 32,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.16 : 21,528.28 = 21,528.28 : x
  2. Step 2: Convert to fraction form
    14,147.16/21,528.28 = 21,528.28/x
  3. Step 3: Cross multiply
    14,147.16x = 21,528.28 × 21,528.28
  4. Step 4: Simplify right side
    14,147.16x = 463,466,893.58
  5. Step 5: Solve for x
    x = 463,466,893.58/14,147.16
  6. Step 6: Final answer
    x = 32,760.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.