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Finding the Third Proportional to 29,995.73 and 65,641.22

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Solution

The third proportional to 29,995.73 and 65,641.22 is: 143,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995.73 : 65,641.22 = 65,641.22 : x
  2. Step 2: Convert to fraction form
    29,995.73/65,641.22 = 65,641.22/x
  3. Step 3: Cross multiply
    29,995.73x = 65,641.22 × 65,641.22
  4. Step 4: Simplify right side
    29,995.73x = 4,308,769,598.99
  5. Step 5: Solve for x
    x = 4,308,769,598.99/29,995.73
  6. Step 6: Final answer
    x = 143,646.08

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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.