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Finding the Third Proportional to 19,659.75 and 42,775.50

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Solution

The third proportional to 19,659.75 and 42,775.50 is: 93,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.75 : 42,775.50 = 42,775.50 : x
  2. Step 2: Convert to fraction form
    19,659.75/42,775.50 = 42,775.50/x
  3. Step 3: Cross multiply
    19,659.75x = 42,775.50 × 42,775.50
  4. Step 4: Simplify right side
    19,659.75x = 1,829,743,400.25
  5. Step 5: Solve for x
    x = 1,829,743,400.25/19,659.75
  6. Step 6: Final answer
    x = 93,070.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.