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Finding the Third Proportional to 46,580 and 65,844

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Solution

The third proportional to 46,580 and 65,844 is: 93,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580 : 65,844 = 65,844 : x
  2. Step 2: Convert to fraction form
    46,580/65,844 = 65,844/x
  3. Step 3: Cross multiply
    46,580x = 65,844 × 65,844
  4. Step 4: Simplify right side
    46,580x = 4,335,432,336
  5. Step 5: Solve for x
    x = 4,335,432,336/46,580
  6. Step 6: Final answer
    x = 93,074.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.