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Finding the Third Proportional to 23,402 and 52,360

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Solution

The third proportional to 23,402 and 52,360 is: 117,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402 : 52,360 = 52,360 : x
  2. Step 2: Convert to fraction form
    23,402/52,360 = 52,360/x
  3. Step 3: Cross multiply
    23,402x = 52,360 × 52,360
  4. Step 4: Simplify right side
    23,402x = 2,741,569,600
  5. Step 5: Solve for x
    x = 2,741,569,600/23,402
  6. Step 6: Final answer
    x = 117,151.08

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.