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Finding the Third Proportional to 19,729.50 and 42,915

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Solution

The third proportional to 19,729.50 and 42,915 is: 93,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.50 : 42,915 = 42,915 : x
  2. Step 2: Convert to fraction form
    19,729.50/42,915 = 42,915/x
  3. Step 3: Cross multiply
    19,729.50x = 42,915 × 42,915
  4. Step 4: Simplify right side
    19,729.50x = 1,841,697,225
  5. Step 5: Solve for x
    x = 1,841,697,225/19,729.50
  6. Step 6: Final answer
    x = 93,347.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.