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Finding the Third Proportional to 51,941.25 and 77,570.16

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Solution

The third proportional to 51,941.25 and 77,570.16 is: 115,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,941.25 : 77,570.16 = 77,570.16 : x
  2. Step 2: Convert to fraction form
    51,941.25/77,570.16 = 77,570.16/x
  3. Step 3: Cross multiply
    51,941.25x = 77,570.16 × 77,570.16
  4. Step 4: Simplify right side
    51,941.25x = 6,017,129,140.65
  5. Step 5: Solve for x
    x = 6,017,129,140.65/51,941.25
  6. Step 6: Final answer
    x = 115,844.90

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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.