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Finding the Third Proportional to 19,332.50 and 40,739

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Solution

The third proportional to 19,332.50 and 40,739 is: 85,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332.50 : 40,739 = 40,739 : x
  2. Step 2: Convert to fraction form
    19,332.50/40,739 = 40,739/x
  3. Step 3: Cross multiply
    19,332.50x = 40,739 × 40,739
  4. Step 4: Simplify right side
    19,332.50x = 1,659,666,121
  5. Step 5: Solve for x
    x = 1,659,666,121/19,332.50
  6. Step 6: Final answer
    x = 85,848.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.