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Finding the Third Proportional to 15,893.72 and 21,585.87

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Solution

The third proportional to 15,893.72 and 21,585.87 is: 29,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.72 : 21,585.87 = 21,585.87 : x
  2. Step 2: Convert to fraction form
    15,893.72/21,585.87 = 21,585.87/x
  3. Step 3: Cross multiply
    15,893.72x = 21,585.87 × 21,585.87
  4. Step 4: Simplify right side
    15,893.72x = 465,949,662.24
  5. Step 5: Solve for x
    x = 465,949,662.24/15,893.72
  6. Step 6: Final answer
    x = 29,316.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.