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Finding the Third Proportional to 10,530 and 24,315

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Solution

The third proportional to 10,530 and 24,315 is: 56,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 24,315 = 24,315 : x
  2. Step 2: Convert to fraction form
    10,530/24,315 = 24,315/x
  3. Step 3: Cross multiply
    10,530x = 24,315 × 24,315
  4. Step 4: Simplify right side
    10,530x = 591,219,225
  5. Step 5: Solve for x
    x = 591,219,225/10,530
  6. Step 6: Final answer
    x = 56,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.