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Finding the Third Proportional to 15,287 and 23,360

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Solution

The third proportional to 15,287 and 23,360 is: 35,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287 : 23,360 = 23,360 : x
  2. Step 2: Convert to fraction form
    15,287/23,360 = 23,360/x
  3. Step 3: Cross multiply
    15,287x = 23,360 × 23,360
  4. Step 4: Simplify right side
    15,287x = 545,689,600
  5. Step 5: Solve for x
    x = 545,689,600/15,287
  6. Step 6: Final answer
    x = 35,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.