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Finding the Third Proportional to 30,084 and 60,898.50

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Solution

The third proportional to 30,084 and 60,898.50 is: 123,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 60,898.50 = 60,898.50 : x
  2. Step 2: Convert to fraction form
    30,084/60,898.50 = 60,898.50/x
  3. Step 3: Cross multiply
    30,084x = 60,898.50 × 60,898.50
  4. Step 4: Simplify right side
    30,084x = 3,708,627,302.25
  5. Step 5: Solve for x
    x = 3,708,627,302.25/30,084
  6. Step 6: Final answer
    x = 123,275.74

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.