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Finding the Third Proportional to 19,360 and 26,160

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Solution

The third proportional to 19,360 and 26,160 is: 35,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,360 : 26,160 = 26,160 : x
  2. Step 2: Convert to fraction form
    19,360/26,160 = 26,160/x
  3. Step 3: Cross multiply
    19,360x = 26,160 × 26,160
  4. Step 4: Simplify right side
    19,360x = 684,345,600
  5. Step 5: Solve for x
    x = 684,345,600/19,360
  6. Step 6: Final answer
    x = 35,348.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.