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Finding the Third Proportional to 32,536.13 and 45,523.13

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Solution

The third proportional to 32,536.13 and 45,523.13 is: 63,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.13 : 45,523.13 = 45,523.13 : x
  2. Step 2: Convert to fraction form
    32,536.13/45,523.13 = 45,523.13/x
  3. Step 3: Cross multiply
    32,536.13x = 45,523.13 × 45,523.13
  4. Step 4: Simplify right side
    32,536.13x = 2,072,354,909.77
  5. Step 5: Solve for x
    x = 2,072,354,909.77/32,536.13
  6. Step 6: Final answer
    x = 63,693.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.