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Finding the Third Proportional to 24,534 and 52,953.75

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Solution

The third proportional to 24,534 and 52,953.75 is: 114,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 52,953.75 = 52,953.75 : x
  2. Step 2: Convert to fraction form
    24,534/52,953.75 = 52,953.75/x
  3. Step 3: Cross multiply
    24,534x = 52,953.75 × 52,953.75
  4. Step 4: Simplify right side
    24,534x = 2,804,099,639.06
  5. Step 5: Solve for x
    x = 2,804,099,639.06/24,534
  6. Step 6: Final answer
    x = 114,294.43

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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.