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Finding the Third Proportional to 1,516 and 1,652.75

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Solution

The third proportional to 1,516 and 1,652.75 is: 1,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516 : 1,652.75 = 1,652.75 : x
  2. Step 2: Convert to fraction form
    1,516/1,652.75 = 1,652.75/x
  3. Step 3: Cross multiply
    1,516x = 1,652.75 × 1,652.75
  4. Step 4: Simplify right side
    1,516x = 2,731,582.56
  5. Step 5: Solve for x
    x = 2,731,582.56/1,516
  6. Step 6: Final answer
    x = 1,801.84

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.