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Finding the Third Proportional to 2,537.06 and 3,795.28

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Solution

The third proportional to 2,537.06 and 3,795.28 is: 5,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.06 : 3,795.28 = 3,795.28 : x
  2. Step 2: Convert to fraction form
    2,537.06/3,795.28 = 3,795.28/x
  3. Step 3: Cross multiply
    2,537.06x = 3,795.28 × 3,795.28
  4. Step 4: Simplify right side
    2,537.06x = 14,404,159.77
  5. Step 5: Solve for x
    x = 14,404,159.77/2,537.06
  6. Step 6: Final answer
    x = 5,677.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.