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Finding the Third Proportional to 1,917.42 and 2,602.76

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Solution

The third proportional to 1,917.42 and 2,602.76 is: 3,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 2,602.76 = 2,602.76 : x
  2. Step 2: Convert to fraction form
    1,917.42/2,602.76 = 2,602.76/x
  3. Step 3: Cross multiply
    1,917.42x = 2,602.76 × 2,602.76
  4. Step 4: Simplify right side
    1,917.42x = 6,774,348.23
  5. Step 5: Solve for x
    x = 6,774,348.23/1,917.42
  6. Step 6: Final answer
    x = 3,533.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.