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Finding the Third Proportional to 10,158.54 and 21,725.72

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Solution

The third proportional to 10,158.54 and 21,725.72 is: 46,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.54 : 21,725.72 = 21,725.72 : x
  2. Step 2: Convert to fraction form
    10,158.54/21,725.72 = 21,725.72/x
  3. Step 3: Cross multiply
    10,158.54x = 21,725.72 × 21,725.72
  4. Step 4: Simplify right side
    10,158.54x = 472,006,855.20
  5. Step 5: Solve for x
    x = 472,006,855.20/10,158.54
  6. Step 6: Final answer
    x = 46,464.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.