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Finding the Third Proportional to 10,596.13 and 22,066.49

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Solution

The third proportional to 10,596.13 and 22,066.49 is: 45,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.13 : 22,066.49 = 22,066.49 : x
  2. Step 2: Convert to fraction form
    10,596.13/22,066.49 = 22,066.49/x
  3. Step 3: Cross multiply
    10,596.13x = 22,066.49 × 22,066.49
  4. Step 4: Simplify right side
    10,596.13x = 486,929,905.07
  5. Step 5: Solve for x
    x = 486,929,905.07/10,596.13
  6. Step 6: Final answer
    x = 45,953.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.