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Finding the Third Proportional to 38,590.75 and 59,423.75

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Solution

The third proportional to 38,590.75 and 59,423.75 is: 91,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.75 : 59,423.75 = 59,423.75 : x
  2. Step 2: Convert to fraction form
    38,590.75/59,423.75 = 59,423.75/x
  3. Step 3: Cross multiply
    38,590.75x = 59,423.75 × 59,423.75
  4. Step 4: Simplify right side
    38,590.75x = 3,531,182,064.06
  5. Step 5: Solve for x
    x = 3,531,182,064.06/38,590.75
  6. Step 6: Final answer
    x = 91,503.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.