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Finding the Third Proportional to 16,083 and 35,203.50

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Solution

The third proportional to 16,083 and 35,203.50 is: 77,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 35,203.50 = 35,203.50 : x
  2. Step 2: Convert to fraction form
    16,083/35,203.50 = 35,203.50/x
  3. Step 3: Cross multiply
    16,083x = 35,203.50 × 35,203.50
  4. Step 4: Simplify right side
    16,083x = 1,239,286,412.25
  5. Step 5: Solve for x
    x = 1,239,286,412.25/16,083
  6. Step 6: Final answer
    x = 77,055.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.