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Finding the Third Proportional to 10,524 and 24,365

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Solution

The third proportional to 10,524 and 24,365 is: 56,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 24,365 = 24,365 : x
  2. Step 2: Convert to fraction form
    10,524/24,365 = 24,365/x
  3. Step 3: Cross multiply
    10,524x = 24,365 × 24,365
  4. Step 4: Simplify right side
    10,524x = 593,653,225
  5. Step 5: Solve for x
    x = 593,653,225/10,524
  6. Step 6: Final answer
    x = 56,409.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.