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Finding the Third Proportional to 14,693.63 and 31,596.63

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Solution

The third proportional to 14,693.63 and 31,596.63 is: 67,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.63 : 31,596.63 = 31,596.63 : x
  2. Step 2: Convert to fraction form
    14,693.63/31,596.63 = 31,596.63/x
  3. Step 3: Cross multiply
    14,693.63x = 31,596.63 × 31,596.63
  4. Step 4: Simplify right side
    14,693.63x = 998,346,711.39
  5. Step 5: Solve for x
    x = 998,346,711.39/14,693.63
  6. Step 6: Final answer
    x = 67,944.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.