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Finding the Third Proportional to 1,037.18 and 1,557.77

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Solution

The third proportional to 1,037.18 and 1,557.77 is: 2,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.18 : 1,557.77 = 1,557.77 : x
  2. Step 2: Convert to fraction form
    1,037.18/1,557.77 = 1,557.77/x
  3. Step 3: Cross multiply
    1,037.18x = 1,557.77 × 1,557.77
  4. Step 4: Simplify right side
    1,037.18x = 2,426,658.08
  5. Step 5: Solve for x
    x = 2,426,658.08/1,037.18
  6. Step 6: Final answer
    x = 2,339.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.