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Finding the Third Proportional to 46,836 and 63,324

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Solution

The third proportional to 46,836 and 63,324 is: 85,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 63,324 = 63,324 : x
  2. Step 2: Convert to fraction form
    46,836/63,324 = 63,324/x
  3. Step 3: Cross multiply
    46,836x = 63,324 × 63,324
  4. Step 4: Simplify right side
    46,836x = 4,009,928,976
  5. Step 5: Solve for x
    x = 4,009,928,976/46,836
  6. Step 6: Final answer
    x = 85,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.