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Finding the Third Proportional to 24,056 and 52,484

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Solution

The third proportional to 24,056 and 52,484 is: 114,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,056 : 52,484 = 52,484 : x
  2. Step 2: Convert to fraction form
    24,056/52,484 = 52,484/x
  3. Step 3: Cross multiply
    24,056x = 52,484 × 52,484
  4. Step 4: Simplify right side
    24,056x = 2,754,570,256
  5. Step 5: Solve for x
    x = 2,754,570,256/24,056
  6. Step 6: Final answer
    x = 114,506.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.