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Finding the Third Proportional to 16,905 and 39,133.50

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Solution

The third proportional to 16,905 and 39,133.50 is: 90,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905 : 39,133.50 = 39,133.50 : x
  2. Step 2: Convert to fraction form
    16,905/39,133.50 = 39,133.50/x
  3. Step 3: Cross multiply
    16,905x = 39,133.50 × 39,133.50
  4. Step 4: Simplify right side
    16,905x = 1,531,430,822.25
  5. Step 5: Solve for x
    x = 1,531,430,822.25/16,905
  6. Step 6: Final answer
    x = 90,590.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.