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Finding the Third Proportional to 29,524.50 and 64,562.06

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Solution

The third proportional to 29,524.50 and 64,562.06 is: 141,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.50 : 64,562.06 = 64,562.06 : x
  2. Step 2: Convert to fraction form
    29,524.50/64,562.06 = 64,562.06/x
  3. Step 3: Cross multiply
    29,524.50x = 64,562.06 × 64,562.06
  4. Step 4: Simplify right side
    29,524.50x = 4,168,259,914.25
  5. Step 5: Solve for x
    x = 4,168,259,914.25/29,524.50
  6. Step 6: Final answer
    x = 141,179.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.