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Finding the Third Proportional to 5,940 and 9,365.63

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Solution

The third proportional to 5,940 and 9,365.63 is: 14,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 9,365.63 = 9,365.63 : x
  2. Step 2: Convert to fraction form
    5,940/9,365.63 = 9,365.63/x
  3. Step 3: Cross multiply
    5,940x = 9,365.63 × 9,365.63
  4. Step 4: Simplify right side
    5,940x = 87,714,931.64
  5. Step 5: Solve for x
    x = 87,714,931.64/5,940
  6. Step 6: Final answer
    x = 14,766.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.