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Finding the Third Proportional to 25,752 and 39,024

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Solution

The third proportional to 25,752 and 39,024 is: 59,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752 : 39,024 = 39,024 : x
  2. Step 2: Convert to fraction form
    25,752/39,024 = 39,024/x
  3. Step 3: Cross multiply
    25,752x = 39,024 × 39,024
  4. Step 4: Simplify right side
    25,752x = 1,522,872,576
  5. Step 5: Solve for x
    x = 1,522,872,576/25,752
  6. Step 6: Final answer
    x = 59,136.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.