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Finding the Third Proportional to 30,549 and 45,904.50

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Solution

The third proportional to 30,549 and 45,904.50 is: 68,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549 : 45,904.50 = 45,904.50 : x
  2. Step 2: Convert to fraction form
    30,549/45,904.50 = 45,904.50/x
  3. Step 3: Cross multiply
    30,549x = 45,904.50 × 45,904.50
  4. Step 4: Simplify right side
    30,549x = 2,107,223,120.25
  5. Step 5: Solve for x
    x = 2,107,223,120.25/30,549
  6. Step 6: Final answer
    x = 68,978.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.