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Finding the Third Proportional to 15,825.38 and 37,357.45

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Solution

The third proportional to 15,825.38 and 37,357.45 is: 88,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.38 : 37,357.45 = 37,357.45 : x
  2. Step 2: Convert to fraction form
    15,825.38/37,357.45 = 37,357.45/x
  3. Step 3: Cross multiply
    15,825.38x = 37,357.45 × 37,357.45
  4. Step 4: Simplify right side
    15,825.38x = 1,395,579,303.99
  5. Step 5: Solve for x
    x = 1,395,579,303.99/15,825.38
  6. Step 6: Final answer
    x = 88,186.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.