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Finding the Third Proportional to 30,691.50 and 45,030

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Solution

The third proportional to 30,691.50 and 45,030 is: 66,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.50 : 45,030 = 45,030 : x
  2. Step 2: Convert to fraction form
    30,691.50/45,030 = 45,030/x
  3. Step 3: Cross multiply
    30,691.50x = 45,030 × 45,030
  4. Step 4: Simplify right side
    30,691.50x = 2,027,700,900
  5. Step 5: Solve for x
    x = 2,027,700,900/30,691.50
  6. Step 6: Final answer
    x = 66,067.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.