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Finding the Third Proportional to 46,324 and 70,422

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Solution

The third proportional to 46,324 and 70,422 is: 107,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,324 : 70,422 = 70,422 : x
  2. Step 2: Convert to fraction form
    46,324/70,422 = 70,422/x
  3. Step 3: Cross multiply
    46,324x = 70,422 × 70,422
  4. Step 4: Simplify right side
    46,324x = 4,959,258,084
  5. Step 5: Solve for x
    x = 4,959,258,084/46,324
  6. Step 6: Final answer
    x = 107,055.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.