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Finding the Third Proportional to 15,076.13 and 32,896.13

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Solution

The third proportional to 15,076.13 and 32,896.13 is: 71,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.13 : 32,896.13 = 32,896.13 : x
  2. Step 2: Convert to fraction form
    15,076.13/32,896.13 = 32,896.13/x
  3. Step 3: Cross multiply
    15,076.13x = 32,896.13 × 32,896.13
  4. Step 4: Simplify right side
    15,076.13x = 1,082,155,040.02
  5. Step 5: Solve for x
    x = 1,082,155,040.02/15,076.13
  6. Step 6: Final answer
    x = 71,779.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.