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Finding the Third Proportional to 10,237 and 15,427.50

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Solution

The third proportional to 10,237 and 15,427.50 is: 23,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237 : 15,427.50 = 15,427.50 : x
  2. Step 2: Convert to fraction form
    10,237/15,427.50 = 15,427.50/x
  3. Step 3: Cross multiply
    10,237x = 15,427.50 × 15,427.50
  4. Step 4: Simplify right side
    10,237x = 238,007,756.25
  5. Step 5: Solve for x
    x = 238,007,756.25/10,237
  6. Step 6: Final answer
    x = 23,249.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.