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Finding the Third Proportional to 11,346 and 24,516

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Solution

The third proportional to 11,346 and 24,516 is: 52,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346 : 24,516 = 24,516 : x
  2. Step 2: Convert to fraction form
    11,346/24,516 = 24,516/x
  3. Step 3: Cross multiply
    11,346x = 24,516 × 24,516
  4. Step 4: Simplify right side
    11,346x = 601,034,256
  5. Step 5: Solve for x
    x = 601,034,256/11,346
  6. Step 6: Final answer
    x = 52,973.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.