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Finding the Third Proportional to 10,234 and 15,803

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Solution

The third proportional to 10,234 and 15,803 is: 24,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 15,803 = 15,803 : x
  2. Step 2: Convert to fraction form
    10,234/15,803 = 15,803/x
  3. Step 3: Cross multiply
    10,234x = 15,803 × 15,803
  4. Step 4: Simplify right side
    10,234x = 249,734,809
  5. Step 5: Solve for x
    x = 249,734,809/10,234
  6. Step 6: Final answer
    x = 24,402.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.