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Finding the Third Proportional to 15,734.25 and 21,353.63

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Solution

The third proportional to 15,734.25 and 21,353.63 is: 28,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.25 : 21,353.63 = 21,353.63 : x
  2. Step 2: Convert to fraction form
    15,734.25/21,353.63 = 21,353.63/x
  3. Step 3: Cross multiply
    15,734.25x = 21,353.63 × 21,353.63
  4. Step 4: Simplify right side
    15,734.25x = 455,977,300.64
  5. Step 5: Solve for x
    x = 455,977,300.64/15,734.25
  6. Step 6: Final answer
    x = 28,979.92

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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.