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Finding the Third Proportional to 31,104 and 42,403.50

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Solution

The third proportional to 31,104 and 42,403.50 is: 57,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 42,403.50 = 42,403.50 : x
  2. Step 2: Convert to fraction form
    31,104/42,403.50 = 42,403.50/x
  3. Step 3: Cross multiply
    31,104x = 42,403.50 × 42,403.50
  4. Step 4: Simplify right side
    31,104x = 1,798,056,812.25
  5. Step 5: Solve for x
    x = 1,798,056,812.25/31,104
  6. Step 6: Final answer
    x = 57,807.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.