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Finding the Third Proportional to 51,948 and 74,284

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Solution

The third proportional to 51,948 and 74,284 is: 106,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 74,284 = 74,284 : x
  2. Step 2: Convert to fraction form
    51,948/74,284 = 74,284/x
  3. Step 3: Cross multiply
    51,948x = 74,284 × 74,284
  4. Step 4: Simplify right side
    51,948x = 5,518,112,656
  5. Step 5: Solve for x
    x = 5,518,112,656/51,948
  6. Step 6: Final answer
    x = 106,223.77

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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.