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Finding the Third Proportional to 39,903.66 and 83,503.50

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Solution

The third proportional to 39,903.66 and 83,503.50 is: 174,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,903.66 : 83,503.50 = 83,503.50 : x
  2. Step 2: Convert to fraction form
    39,903.66/83,503.50 = 83,503.50/x
  3. Step 3: Cross multiply
    39,903.66x = 83,503.50 × 83,503.50
  4. Step 4: Simplify right side
    39,903.66x = 6,972,834,512.25
  5. Step 5: Solve for x
    x = 6,972,834,512.25/39,903.66
  6. Step 6: Final answer
    x = 174,741.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.