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Finding the Third Proportional to 32,256.14 and 44,572.15

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Solution

The third proportional to 32,256.14 and 44,572.15 is: 61,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256.14 : 44,572.15 = 44,572.15 : x
  2. Step 2: Convert to fraction form
    32,256.14/44,572.15 = 44,572.15/x
  3. Step 3: Cross multiply
    32,256.14x = 44,572.15 × 44,572.15
  4. Step 4: Simplify right side
    32,256.14x = 1,986,676,416.33
  5. Step 5: Solve for x
    x = 1,986,676,416.33/32,256.14
  6. Step 6: Final answer
    x = 61,590.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.