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Finding the Third Proportional to 10,038.94 and 15,263.44

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Solution

The third proportional to 10,038.94 and 15,263.44 is: 23,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.94 : 15,263.44 = 15,263.44 : x
  2. Step 2: Convert to fraction form
    10,038.94/15,263.44 = 15,263.44/x
  3. Step 3: Cross multiply
    10,038.94x = 15,263.44 × 15,263.44
  4. Step 4: Simplify right side
    10,038.94x = 232,972,524.32
  5. Step 5: Solve for x
    x = 232,972,524.32/10,038.94
  6. Step 6: Final answer
    x = 23,206.89

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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.