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Finding the Third Proportional to 38,587.50 and 51,453

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Solution

The third proportional to 38,587.50 and 51,453 is: 68,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587.50 : 51,453 = 51,453 : x
  2. Step 2: Convert to fraction form
    38,587.50/51,453 = 51,453/x
  3. Step 3: Cross multiply
    38,587.50x = 51,453 × 51,453
  4. Step 4: Simplify right side
    38,587.50x = 2,647,411,209
  5. Step 5: Solve for x
    x = 2,647,411,209/38,587.50
  6. Step 6: Final answer
    x = 68,608.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.