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Finding the Third Proportional to 42,941 and 64,882.50

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Solution

The third proportional to 42,941 and 64,882.50 is: 98,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,941 : 64,882.50 = 64,882.50 : x
  2. Step 2: Convert to fraction form
    42,941/64,882.50 = 64,882.50/x
  3. Step 3: Cross multiply
    42,941x = 64,882.50 × 64,882.50
  4. Step 4: Simplify right side
    42,941x = 4,209,738,806.25
  5. Step 5: Solve for x
    x = 4,209,738,806.25/42,941
  6. Step 6: Final answer
    x = 98,035.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.