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Finding the Third Proportional to 30,104.25 and 46,880.25

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Solution

The third proportional to 30,104.25 and 46,880.25 is: 73,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.25 : 46,880.25 = 46,880.25 : x
  2. Step 2: Convert to fraction form
    30,104.25/46,880.25 = 46,880.25/x
  3. Step 3: Cross multiply
    30,104.25x = 46,880.25 × 46,880.25
  4. Step 4: Simplify right side
    30,104.25x = 2,197,757,840.06
  5. Step 5: Solve for x
    x = 2,197,757,840.06/30,104.25
  6. Step 6: Final answer
    x = 73,004.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.