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Finding the Third Proportional to 15,076.13 and 35,537.06

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Solution

The third proportional to 15,076.13 and 35,537.06 is: 83,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.13 : 35,537.06 = 35,537.06 : x
  2. Step 2: Convert to fraction form
    15,076.13/35,537.06 = 35,537.06/x
  3. Step 3: Cross multiply
    15,076.13x = 35,537.06 × 35,537.06
  4. Step 4: Simplify right side
    15,076.13x = 1,262,882,811.13
  5. Step 5: Solve for x
    x = 1,262,882,811.13/15,076.13
  6. Step 6: Final answer
    x = 83,767.07

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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.