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Finding the Third Proportional to 30,820.50 and 53,196.75

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Solution

The third proportional to 30,820.50 and 53,196.75 is: 91,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 53,196.75 = 53,196.75 : x
  2. Step 2: Convert to fraction form
    30,820.50/53,196.75 = 53,196.75/x
  3. Step 3: Cross multiply
    30,820.50x = 53,196.75 × 53,196.75
  4. Step 4: Simplify right side
    30,820.50x = 2,829,894,210.56
  5. Step 5: Solve for x
    x = 2,829,894,210.56/30,820.50
  6. Step 6: Final answer
    x = 91,818.57

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.