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Finding the Third Proportional to 1,655.16 and 3,621.94

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Solution

The third proportional to 1,655.16 and 3,621.94 is: 7,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.16 : 3,621.94 = 3,621.94 : x
  2. Step 2: Convert to fraction form
    1,655.16/3,621.94 = 3,621.94/x
  3. Step 3: Cross multiply
    1,655.16x = 3,621.94 × 3,621.94
  4. Step 4: Simplify right side
    1,655.16x = 13,118,431.25
  5. Step 5: Solve for x
    x = 13,118,431.25/1,655.16
  6. Step 6: Final answer
    x = 7,925.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.