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Finding the Third Proportional to 1,457.81 and 3,143.06

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Solution

The third proportional to 1,457.81 and 3,143.06 is: 6,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.81 : 3,143.06 = 3,143.06 : x
  2. Step 2: Convert to fraction form
    1,457.81/3,143.06 = 3,143.06/x
  3. Step 3: Cross multiply
    1,457.81x = 3,143.06 × 3,143.06
  4. Step 4: Simplify right side
    1,457.81x = 9,878,841.88
  5. Step 5: Solve for x
    x = 9,878,841.88/1,457.81
  6. Step 6: Final answer
    x = 6,776.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.