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Finding the Third Proportional to 32,058 and 50,368.50

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Solution

The third proportional to 32,058 and 50,368.50 is: 79,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058 : 50,368.50 = 50,368.50 : x
  2. Step 2: Convert to fraction form
    32,058/50,368.50 = 50,368.50/x
  3. Step 3: Cross multiply
    32,058x = 50,368.50 × 50,368.50
  4. Step 4: Simplify right side
    32,058x = 2,536,985,792.25
  5. Step 5: Solve for x
    x = 2,536,985,792.25/32,058
  6. Step 6: Final answer
    x = 79,137.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.