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Finding the Third Proportional to 1,135.58 and 1,665.98

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Solution

The third proportional to 1,135.58 and 1,665.98 is: 2,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.58 : 1,665.98 = 1,665.98 : x
  2. Step 2: Convert to fraction form
    1,135.58/1,665.98 = 1,665.98/x
  3. Step 3: Cross multiply
    1,135.58x = 1,665.98 × 1,665.98
  4. Step 4: Simplify right side
    1,135.58x = 2,775,503.94
  5. Step 5: Solve for x
    x = 2,775,503.94/1,135.58
  6. Step 6: Final answer
    x = 2,444.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.