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Finding the Third Proportional to 2,460.06 and 3,702.43

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Solution

The third proportional to 2,460.06 and 3,702.43 is: 5,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.06 : 3,702.43 = 3,702.43 : x
  2. Step 2: Convert to fraction form
    2,460.06/3,702.43 = 3,702.43/x
  3. Step 3: Cross multiply
    2,460.06x = 3,702.43 × 3,702.43
  4. Step 4: Simplify right side
    2,460.06x = 13,707,971.13
  5. Step 5: Solve for x
    x = 13,707,971.13/2,460.06
  6. Step 6: Final answer
    x = 5,572.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.