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Finding the Third Proportional to 23,502 and 51,453

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Solution

The third proportional to 23,502 and 51,453 is: 112,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502 : 51,453 = 51,453 : x
  2. Step 2: Convert to fraction form
    23,502/51,453 = 51,453/x
  3. Step 3: Cross multiply
    23,502x = 51,453 × 51,453
  4. Step 4: Simplify right side
    23,502x = 2,647,411,209
  5. Step 5: Solve for x
    x = 2,647,411,209/23,502
  6. Step 6: Final answer
    x = 112,646.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.