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Finding the Third Proportional to 24,145.75 and 37,386.75

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Solution

The third proportional to 24,145.75 and 37,386.75 is: 57,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.75 : 37,386.75 = 37,386.75 : x
  2. Step 2: Convert to fraction form
    24,145.75/37,386.75 = 37,386.75/x
  3. Step 3: Cross multiply
    24,145.75x = 37,386.75 × 37,386.75
  4. Step 4: Simplify right side
    24,145.75x = 1,397,769,075.56
  5. Step 5: Solve for x
    x = 1,397,769,075.56/24,145.75
  6. Step 6: Final answer
    x = 57,888.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.