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Finding the Third Proportional to 30,415.50 and 45,451.13

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Solution

The third proportional to 30,415.50 and 45,451.13 is: 67,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.50 : 45,451.13 = 45,451.13 : x
  2. Step 2: Convert to fraction form
    30,415.50/45,451.13 = 45,451.13/x
  3. Step 3: Cross multiply
    30,415.50x = 45,451.13 × 45,451.13
  4. Step 4: Simplify right side
    30,415.50x = 2,065,804,763.77
  5. Step 5: Solve for x
    x = 2,065,804,763.77/30,415.50
  6. Step 6: Final answer
    x = 67,919.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.