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Finding the Third Proportional to 35,753 and 53,440

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Solution

The third proportional to 35,753 and 53,440 is: 79,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,753 : 53,440 = 53,440 : x
  2. Step 2: Convert to fraction form
    35,753/53,440 = 53,440/x
  3. Step 3: Cross multiply
    35,753x = 53,440 × 53,440
  4. Step 4: Simplify right side
    35,753x = 2,855,833,600
  5. Step 5: Solve for x
    x = 2,855,833,600/35,753
  6. Step 6: Final answer
    x = 79,876.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.