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Finding the Third Proportional to 30,348.42 and 45,945.98

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Solution

The third proportional to 30,348.42 and 45,945.98 is: 69,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.42 : 45,945.98 = 45,945.98 : x
  2. Step 2: Convert to fraction form
    30,348.42/45,945.98 = 45,945.98/x
  3. Step 3: Cross multiply
    30,348.42x = 45,945.98 × 45,945.98
  4. Step 4: Simplify right side
    30,348.42x = 2,111,033,480.19
  5. Step 5: Solve for x
    x = 2,111,033,480.19/30,348.42
  6. Step 6: Final answer
    x = 69,559.91

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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.