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Finding the Third Proportional to 30,540 and 46,240

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Solution

The third proportional to 30,540 and 46,240 is: 70,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540 : 46,240 = 46,240 : x
  2. Step 2: Convert to fraction form
    30,540/46,240 = 46,240/x
  3. Step 3: Cross multiply
    30,540x = 46,240 × 46,240
  4. Step 4: Simplify right side
    30,540x = 2,138,137,600
  5. Step 5: Solve for x
    x = 2,138,137,600/30,540
  6. Step 6: Final answer
    x = 70,011.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.