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Finding the Third Proportional to 2,114.50 and 4,457

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Solution

The third proportional to 2,114.50 and 4,457 is: 9,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.50 : 4,457 = 4,457 : x
  2. Step 2: Convert to fraction form
    2,114.50/4,457 = 4,457/x
  3. Step 3: Cross multiply
    2,114.50x = 4,457 × 4,457
  4. Step 4: Simplify right side
    2,114.50x = 19,864,849
  5. Step 5: Solve for x
    x = 19,864,849/2,114.50
  6. Step 6: Final answer
    x = 9,394.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.