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Finding the Third Proportional to 10,503 and 19,575

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Solution

The third proportional to 10,503 and 19,575 is: 36,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 19,575 = 19,575 : x
  2. Step 2: Convert to fraction form
    10,503/19,575 = 19,575/x
  3. Step 3: Cross multiply
    10,503x = 19,575 × 19,575
  4. Step 4: Simplify right side
    10,503x = 383,180,625
  5. Step 5: Solve for x
    x = 383,180,625/10,503
  6. Step 6: Final answer
    x = 36,482.97

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.