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Finding the Third Proportional to 36,294 and 53,199

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Solution

The third proportional to 36,294 and 53,199 is: 77,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294 : 53,199 = 53,199 : x
  2. Step 2: Convert to fraction form
    36,294/53,199 = 53,199/x
  3. Step 3: Cross multiply
    36,294x = 53,199 × 53,199
  4. Step 4: Simplify right side
    36,294x = 2,830,133,601
  5. Step 5: Solve for x
    x = 2,830,133,601/36,294
  6. Step 6: Final answer
    x = 77,978.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.