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Finding the Third Proportional to 29,730.66 and 45,537.75

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Solution

The third proportional to 29,730.66 and 45,537.75 is: 69,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.66 : 45,537.75 = 45,537.75 : x
  2. Step 2: Convert to fraction form
    29,730.66/45,537.75 = 45,537.75/x
  3. Step 3: Cross multiply
    29,730.66x = 45,537.75 × 45,537.75
  4. Step 4: Simplify right side
    29,730.66x = 2,073,686,675.06
  5. Step 5: Solve for x
    x = 2,073,686,675.06/29,730.66
  6. Step 6: Final answer
    x = 69,749.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.