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Finding the Third Proportional to 25,201.13 and 28,846.13

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Solution

The third proportional to 25,201.13 and 28,846.13 is: 33,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.13 : 28,846.13 = 28,846.13 : x
  2. Step 2: Convert to fraction form
    25,201.13/28,846.13 = 28,846.13/x
  3. Step 3: Cross multiply
    25,201.13x = 28,846.13 × 28,846.13
  4. Step 4: Simplify right side
    25,201.13x = 832,098,927.52
  5. Step 5: Solve for x
    x = 832,098,927.52/25,201.13
  6. Step 6: Final answer
    x = 33,018.32

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.