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Finding the Third Proportional to 40,308 and 59,233.50

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Solution

The third proportional to 40,308 and 59,233.50 is: 87,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,308 : 59,233.50 = 59,233.50 : x
  2. Step 2: Convert to fraction form
    40,308/59,233.50 = 59,233.50/x
  3. Step 3: Cross multiply
    40,308x = 59,233.50 × 59,233.50
  4. Step 4: Simplify right side
    40,308x = 3,508,607,522.25
  5. Step 5: Solve for x
    x = 3,508,607,522.25/40,308
  6. Step 6: Final answer
    x = 87,044.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.