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Finding the Third Proportional to 51,046 and 74,838

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Solution

The third proportional to 51,046 and 74,838 is: 109,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046 : 74,838 = 74,838 : x
  2. Step 2: Convert to fraction form
    51,046/74,838 = 74,838/x
  3. Step 3: Cross multiply
    51,046x = 74,838 × 74,838
  4. Step 4: Simplify right side
    51,046x = 5,600,726,244
  5. Step 5: Solve for x
    x = 5,600,726,244/51,046
  6. Step 6: Final answer
    x = 109,719.20

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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.