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Finding the Third Proportional to 29,662.50 and 64,454.81

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Solution

The third proportional to 29,662.50 and 64,454.81 is: 140,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662.50 : 64,454.81 = 64,454.81 : x
  2. Step 2: Convert to fraction form
    29,662.50/64,454.81 = 64,454.81/x
  3. Step 3: Cross multiply
    29,662.50x = 64,454.81 × 64,454.81
  4. Step 4: Simplify right side
    29,662.50x = 4,154,422,854.41
  5. Step 5: Solve for x
    x = 4,154,422,854.41/29,662.50
  6. Step 6: Final answer
    x = 140,056.40

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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.