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Finding the Third Proportional to 38,475 and 57,823.88

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Solution

The third proportional to 38,475 and 57,823.88 is: 86,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 57,823.88 = 57,823.88 : x
  2. Step 2: Convert to fraction form
    38,475/57,823.88 = 57,823.88/x
  3. Step 3: Cross multiply
    38,475x = 57,823.88 × 57,823.88
  4. Step 4: Simplify right side
    38,475x = 3,343,600,520.02
  5. Step 5: Solve for x
    x = 3,343,600,520.02/38,475
  6. Step 6: Final answer
    x = 86,903.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.