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Finding the Third Proportional to 29,084.80 and 63,164.84

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Solution

The third proportional to 29,084.80 and 63,164.84 is: 137,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084.80 : 63,164.84 = 63,164.84 : x
  2. Step 2: Convert to fraction form
    29,084.80/63,164.84 = 63,164.84/x
  3. Step 3: Cross multiply
    29,084.80x = 63,164.84 × 63,164.84
  4. Step 4: Simplify right side
    29,084.80x = 3,989,797,285.49
  5. Step 5: Solve for x
    x = 3,989,797,285.49/29,084.80
  6. Step 6: Final answer
    x = 137,178.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.