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Finding the Third Proportional to 42,793 and 62,977.50

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Solution

The third proportional to 42,793 and 62,977.50 is: 92,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793 : 62,977.50 = 62,977.50 : x
  2. Step 2: Convert to fraction form
    42,793/62,977.50 = 62,977.50/x
  3. Step 3: Cross multiply
    42,793x = 62,977.50 × 62,977.50
  4. Step 4: Simplify right side
    42,793x = 3,966,165,506.25
  5. Step 5: Solve for x
    x = 3,966,165,506.25/42,793
  6. Step 6: Final answer
    x = 92,682.58

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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.