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Finding the Third Proportional to 35,640 and 53,376

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Solution

The third proportional to 35,640 and 53,376 is: 79,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640 : 53,376 = 53,376 : x
  2. Step 2: Convert to fraction form
    35,640/53,376 = 53,376/x
  3. Step 3: Cross multiply
    35,640x = 53,376 × 53,376
  4. Step 4: Simplify right side
    35,640x = 2,848,997,376
  5. Step 5: Solve for x
    x = 2,848,997,376/35,640
  6. Step 6: Final answer
    x = 79,938.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.