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Finding the Third Proportional to 49,650 and 69,452.25

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Solution

The third proportional to 49,650 and 69,452.25 is: 97,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650 : 69,452.25 = 69,452.25 : x
  2. Step 2: Convert to fraction form
    49,650/69,452.25 = 69,452.25/x
  3. Step 3: Cross multiply
    49,650x = 69,452.25 × 69,452.25
  4. Step 4: Simplify right side
    49,650x = 4,823,615,030.06
  5. Step 5: Solve for x
    x = 4,823,615,030.06/49,650
  6. Step 6: Final answer
    x = 97,152.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.