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Finding the Third Proportional to 46,005 and 61,827

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Solution

The third proportional to 46,005 and 61,827 is: 83,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,005 : 61,827 = 61,827 : x
  2. Step 2: Convert to fraction form
    46,005/61,827 = 61,827/x
  3. Step 3: Cross multiply
    46,005x = 61,827 × 61,827
  4. Step 4: Simplify right side
    46,005x = 3,822,577,929
  5. Step 5: Solve for x
    x = 3,822,577,929/46,005
  6. Step 6: Final answer
    x = 83,090.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.