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Finding the Third Proportional to 51,998.63 and 74,307.38

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Solution

The third proportional to 51,998.63 and 74,307.38 is: 106,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.63 : 74,307.38 = 74,307.38 : x
  2. Step 2: Convert to fraction form
    51,998.63/74,307.38 = 74,307.38/x
  3. Step 3: Cross multiply
    51,998.63x = 74,307.38 × 74,307.38
  4. Step 4: Simplify right side
    51,998.63x = 5,521,585,979.39
  5. Step 5: Solve for x
    x = 5,521,585,979.39/51,998.63
  6. Step 6: Final answer
    x = 106,187.15

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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.