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Finding the Third Proportional to 30,829.50 and 40,986

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Solution

The third proportional to 30,829.50 and 40,986 is: 54,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.50 : 40,986 = 40,986 : x
  2. Step 2: Convert to fraction form
    30,829.50/40,986 = 40,986/x
  3. Step 3: Cross multiply
    30,829.50x = 40,986 × 40,986
  4. Step 4: Simplify right side
    30,829.50x = 1,679,852,196
  5. Step 5: Solve for x
    x = 1,679,852,196/30,829.50
  6. Step 6: Final answer
    x = 54,488.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.