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Finding the Third Proportional to 24,444 and 52,056

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Solution

The third proportional to 24,444 and 52,056 is: 110,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,444 : 52,056 = 52,056 : x
  2. Step 2: Convert to fraction form
    24,444/52,056 = 52,056/x
  3. Step 3: Cross multiply
    24,444x = 52,056 × 52,056
  4. Step 4: Simplify right side
    24,444x = 2,709,827,136
  5. Step 5: Solve for x
    x = 2,709,827,136/24,444
  6. Step 6: Final answer
    x = 110,858.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.