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Finding the Third Proportional to 46,560 and 98,640

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Solution

The third proportional to 46,560 and 98,640 is: 208,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,560 : 98,640 = 98,640 : x
  2. Step 2: Convert to fraction form
    46,560/98,640 = 98,640/x
  3. Step 3: Cross multiply
    46,560x = 98,640 × 98,640
  4. Step 4: Simplify right side
    46,560x = 9,729,849,600
  5. Step 5: Solve for x
    x = 9,729,849,600/46,560
  6. Step 6: Final answer
    x = 208,974.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.