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Finding the Third Proportional to 23,075.51 and 34,574.82

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Solution

The third proportional to 23,075.51 and 34,574.82 is: 51,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.51 : 34,574.82 = 34,574.82 : x
  2. Step 2: Convert to fraction form
    23,075.51/34,574.82 = 34,574.82/x
  3. Step 3: Cross multiply
    23,075.51x = 34,574.82 × 34,574.82
  4. Step 4: Simplify right side
    23,075.51x = 1,195,418,064.58
  5. Step 5: Solve for x
    x = 1,195,418,064.58/23,075.51
  6. Step 6: Final answer
    x = 51,804.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.