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Finding the Third Proportional to 32,454 and 49,290

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Solution

The third proportional to 32,454 and 49,290 is: 74,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 49,290 = 49,290 : x
  2. Step 2: Convert to fraction form
    32,454/49,290 = 49,290/x
  3. Step 3: Cross multiply
    32,454x = 49,290 × 49,290
  4. Step 4: Simplify right side
    32,454x = 2,429,504,100
  5. Step 5: Solve for x
    x = 2,429,504,100/32,454
  6. Step 6: Final answer
    x = 74,859.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.