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Finding the Third Proportional to 30,048 and 65,359.50

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Solution

The third proportional to 30,048 and 65,359.50 is: 142,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048 : 65,359.50 = 65,359.50 : x
  2. Step 2: Convert to fraction form
    30,048/65,359.50 = 65,359.50/x
  3. Step 3: Cross multiply
    30,048x = 65,359.50 × 65,359.50
  4. Step 4: Simplify right side
    30,048x = 4,271,864,240.25
  5. Step 5: Solve for x
    x = 4,271,864,240.25/30,048
  6. Step 6: Final answer
    x = 142,168.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.