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Finding the Third Proportional to 30,351.38 and 45,950.63

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Solution

The third proportional to 30,351.38 and 45,950.63 is: 69,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351.38 : 45,950.63 = 45,950.63 : x
  2. Step 2: Convert to fraction form
    30,351.38/45,950.63 = 45,950.63/x
  3. Step 3: Cross multiply
    30,351.38x = 45,950.63 × 45,950.63
  4. Step 4: Simplify right side
    30,351.38x = 2,111,459,937.89
  5. Step 5: Solve for x
    x = 2,111,459,937.89/30,351.38
  6. Step 6: Final answer
    x = 69,567.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.