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Finding the Third Proportional to 38,943 and 58,675.50

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Solution

The third proportional to 38,943 and 58,675.50 is: 88,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,943 : 58,675.50 = 58,675.50 : x
  2. Step 2: Convert to fraction form
    38,943/58,675.50 = 58,675.50/x
  3. Step 3: Cross multiply
    38,943x = 58,675.50 × 58,675.50
  4. Step 4: Simplify right side
    38,943x = 3,442,814,300.25
  5. Step 5: Solve for x
    x = 3,442,814,300.25/38,943
  6. Step 6: Final answer
    x = 88,406.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.