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Finding the Third Proportional to 33,038.75 and 53,197.50

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Solution

The third proportional to 33,038.75 and 53,197.50 is: 85,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.75 : 53,197.50 = 53,197.50 : x
  2. Step 2: Convert to fraction form
    33,038.75/53,197.50 = 53,197.50/x
  3. Step 3: Cross multiply
    33,038.75x = 53,197.50 × 53,197.50
  4. Step 4: Simplify right side
    33,038.75x = 2,829,974,006.25
  5. Step 5: Solve for x
    x = 2,829,974,006.25/33,038.75
  6. Step 6: Final answer
    x = 85,656.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.