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Finding the Third Proportional to 10,465.88 and 15,942.38

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Solution

The third proportional to 10,465.88 and 15,942.38 is: 24,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.88 : 15,942.38 = 15,942.38 : x
  2. Step 2: Convert to fraction form
    10,465.88/15,942.38 = 15,942.38/x
  3. Step 3: Cross multiply
    10,465.88x = 15,942.38 × 15,942.38
  4. Step 4: Simplify right side
    10,465.88x = 254,159,320.64
  5. Step 5: Solve for x
    x = 254,159,320.64/10,465.88
  6. Step 6: Final answer
    x = 24,284.57

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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.