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Finding the Third Proportional to 16,752 and 22,750.75

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Solution

The third proportional to 16,752 and 22,750.75 is: 30,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 22,750.75 = 22,750.75 : x
  2. Step 2: Convert to fraction form
    16,752/22,750.75 = 22,750.75/x
  3. Step 3: Cross multiply
    16,752x = 22,750.75 × 22,750.75
  4. Step 4: Simplify right side
    16,752x = 517,596,625.56
  5. Step 5: Solve for x
    x = 517,596,625.56/16,752
  6. Step 6: Final answer
    x = 30,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.