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Finding the Third Proportional to 1,688.34 and 2,671.03

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Solution

The third proportional to 1,688.34 and 2,671.03 is: 4,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.34 : 2,671.03 = 2,671.03 : x
  2. Step 2: Convert to fraction form
    1,688.34/2,671.03 = 2,671.03/x
  3. Step 3: Cross multiply
    1,688.34x = 2,671.03 × 2,671.03
  4. Step 4: Simplify right side
    1,688.34x = 7,134,407.94
  5. Step 5: Solve for x
    x = 7,134,407.94/1,688.34
  6. Step 6: Final answer
    x = 4,225.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.