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Finding the Third Proportional to 19,347 and 30,676.50

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Solution

The third proportional to 19,347 and 30,676.50 is: 48,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347 : 30,676.50 = 30,676.50 : x
  2. Step 2: Convert to fraction form
    19,347/30,676.50 = 30,676.50/x
  3. Step 3: Cross multiply
    19,347x = 30,676.50 × 30,676.50
  4. Step 4: Simplify right side
    19,347x = 941,047,652.25
  5. Step 5: Solve for x
    x = 941,047,652.25/19,347
  6. Step 6: Final answer
    x = 48,640.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.