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Finding the Third Proportional to 36,724 and 53,358

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Solution

The third proportional to 36,724 and 53,358 is: 77,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 53,358 = 53,358 : x
  2. Step 2: Convert to fraction form
    36,724/53,358 = 53,358/x
  3. Step 3: Cross multiply
    36,724x = 53,358 × 53,358
  4. Step 4: Simplify right side
    36,724x = 2,847,076,164
  5. Step 5: Solve for x
    x = 2,847,076,164/36,724
  6. Step 6: Final answer
    x = 77,526.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.