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Finding the Third Proportional to 46,504 and 70,320

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Solution

The third proportional to 46,504 and 70,320 is: 106,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504 : 70,320 = 70,320 : x
  2. Step 2: Convert to fraction form
    46,504/70,320 = 70,320/x
  3. Step 3: Cross multiply
    46,504x = 70,320 × 70,320
  4. Step 4: Simplify right side
    46,504x = 4,944,902,400
  5. Step 5: Solve for x
    x = 4,944,902,400/46,504
  6. Step 6: Final answer
    x = 106,332.84

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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.