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Finding the Third Proportional to 24,566 and 53,056

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Solution

The third proportional to 24,566 and 53,056 is: 114,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 53,056 = 53,056 : x
  2. Step 2: Convert to fraction form
    24,566/53,056 = 53,056/x
  3. Step 3: Cross multiply
    24,566x = 53,056 × 53,056
  4. Step 4: Simplify right side
    24,566x = 2,814,939,136
  5. Step 5: Solve for x
    x = 2,814,939,136/24,566
  6. Step 6: Final answer
    x = 114,586.79

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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.