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Finding the Third Proportional to 10,506 and 22,848

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Solution

The third proportional to 10,506 and 22,848 is: 49,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506 : 22,848 = 22,848 : x
  2. Step 2: Convert to fraction form
    10,506/22,848 = 22,848/x
  3. Step 3: Cross multiply
    10,506x = 22,848 × 22,848
  4. Step 4: Simplify right side
    10,506x = 522,031,104
  5. Step 5: Solve for x
    x = 522,031,104/10,506
  6. Step 6: Final answer
    x = 49,688.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.