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Finding the Third Proportional to 38,961 and 59,582.25

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Solution

The third proportional to 38,961 and 59,582.25 is: 91,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961 : 59,582.25 = 59,582.25 : x
  2. Step 2: Convert to fraction form
    38,961/59,582.25 = 59,582.25/x
  3. Step 3: Cross multiply
    38,961x = 59,582.25 × 59,582.25
  4. Step 4: Simplify right side
    38,961x = 3,550,044,515.06
  5. Step 5: Solve for x
    x = 3,550,044,515.06/38,961
  6. Step 6: Final answer
    x = 91,117.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.