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Finding the Third Proportional to 36,905.25 and 57,302.25

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Solution

The third proportional to 36,905.25 and 57,302.25 is: 88,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905.25 : 57,302.25 = 57,302.25 : x
  2. Step 2: Convert to fraction form
    36,905.25/57,302.25 = 57,302.25/x
  3. Step 3: Cross multiply
    36,905.25x = 57,302.25 × 57,302.25
  4. Step 4: Simplify right side
    36,905.25x = 3,283,547,855.06
  5. Step 5: Solve for x
    x = 3,283,547,855.06/36,905.25
  6. Step 6: Final answer
    x = 88,972.38

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Why These Related Problems?

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