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Finding the Third Proportional to 10,410 and 24,576

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Solution

The third proportional to 10,410 and 24,576 is: 58,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410 : 24,576 = 24,576 : x
  2. Step 2: Convert to fraction form
    10,410/24,576 = 24,576/x
  3. Step 3: Cross multiply
    10,410x = 24,576 × 24,576
  4. Step 4: Simplify right side
    10,410x = 603,979,776
  5. Step 5: Solve for x
    x = 603,979,776/10,410
  6. Step 6: Final answer
    x = 58,019.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.