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Finding the Third Proportional to 30,907.13 and 41,985

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Solution

The third proportional to 30,907.13 and 41,985 is: 57,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.13 : 41,985 = 41,985 : x
  2. Step 2: Convert to fraction form
    30,907.13/41,985 = 41,985/x
  3. Step 3: Cross multiply
    30,907.13x = 41,985 × 41,985
  4. Step 4: Simplify right side
    30,907.13x = 1,762,740,225
  5. Step 5: Solve for x
    x = 1,762,740,225/30,907.13
  6. Step 6: Final answer
    x = 57,033.46

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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.