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Finding the Third Proportional to 24,543 and 53,003

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Solution

The third proportional to 24,543 and 53,003 is: 114,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 53,003 = 53,003 : x
  2. Step 2: Convert to fraction form
    24,543/53,003 = 53,003/x
  3. Step 3: Cross multiply
    24,543x = 53,003 × 53,003
  4. Step 4: Simplify right side
    24,543x = 2,809,318,009
  5. Step 5: Solve for x
    x = 2,809,318,009/24,543
  6. Step 6: Final answer
    x = 114,465.14

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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.