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Finding the Third Proportional to 51,971.63 and 74,301.05

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Solution

The third proportional to 51,971.63 and 74,301.05 is: 106,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.63 : 74,301.05 = 74,301.05 : x
  2. Step 2: Convert to fraction form
    51,971.63/74,301.05 = 74,301.05/x
  3. Step 3: Cross multiply
    51,971.63x = 74,301.05 × 74,301.05
  4. Step 4: Simplify right side
    51,971.63x = 5,520,645,566.72
  5. Step 5: Solve for x
    x = 5,520,645,566.72/51,971.63
  6. Step 6: Final answer
    x = 106,224.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.