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Finding the Third Proportional to 38,475 and 59,100.75

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Solution

The third proportional to 38,475 and 59,100.75 is: 90,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 59,100.75 = 59,100.75 : x
  2. Step 2: Convert to fraction form
    38,475/59,100.75 = 59,100.75/x
  3. Step 3: Cross multiply
    38,475x = 59,100.75 × 59,100.75
  4. Step 4: Simplify right side
    38,475x = 3,492,898,650.56
  5. Step 5: Solve for x
    x = 3,492,898,650.56/38,475
  6. Step 6: Final answer
    x = 90,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.