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Finding the Third Proportional to 23,680 and 51,360

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Solution

The third proportional to 23,680 and 51,360 is: 111,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 51,360 = 51,360 : x
  2. Step 2: Convert to fraction form
    23,680/51,360 = 51,360/x
  3. Step 3: Cross multiply
    23,680x = 51,360 × 51,360
  4. Step 4: Simplify right side
    23,680x = 2,637,849,600
  5. Step 5: Solve for x
    x = 2,637,849,600/23,680
  6. Step 6: Final answer
    x = 111,395.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.