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Finding the Third Proportional to 2,602.13 and 3,905.72

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Solution

The third proportional to 2,602.13 and 3,905.72 is: 5,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.13 : 3,905.72 = 3,905.72 : x
  2. Step 2: Convert to fraction form
    2,602.13/3,905.72 = 3,905.72/x
  3. Step 3: Cross multiply
    2,602.13x = 3,905.72 × 3,905.72
  4. Step 4: Simplify right side
    2,602.13x = 15,254,638.95
  5. Step 5: Solve for x
    x = 15,254,638.95/2,602.13
  6. Step 6: Final answer
    x = 5,862.38

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