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Finding the Third Proportional to 38,229 and 59,047.50

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Solution

The third proportional to 38,229 and 59,047.50 is: 91,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229 : 59,047.50 = 59,047.50 : x
  2. Step 2: Convert to fraction form
    38,229/59,047.50 = 59,047.50/x
  3. Step 3: Cross multiply
    38,229x = 59,047.50 × 59,047.50
  4. Step 4: Simplify right side
    38,229x = 3,486,607,256.25
  5. Step 5: Solve for x
    x = 3,486,607,256.25/38,229
  6. Step 6: Final answer
    x = 91,203.20

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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.