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Finding the Third Proportional to 930.66 and 1,532.67

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Solution

The third proportional to 930.66 and 1,532.67 is: 2,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 1,532.67 = 1,532.67 : x
  2. Step 2: Convert to fraction form
    930.66/1,532.67 = 1,532.67/x
  3. Step 3: Cross multiply
    930.66x = 1,532.67 × 1,532.67
  4. Step 4: Simplify right side
    930.66x = 2,349,083.08
  5. Step 5: Solve for x
    x = 2,349,083.08/930.66
  6. Step 6: Final answer
    x = 2,524.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.