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Finding the Third Proportional to 46,257 and 61,497

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Solution

The third proportional to 46,257 and 61,497 is: 81,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,257 : 61,497 = 61,497 : x
  2. Step 2: Convert to fraction form
    46,257/61,497 = 61,497/x
  3. Step 3: Cross multiply
    46,257x = 61,497 × 61,497
  4. Step 4: Simplify right side
    46,257x = 3,781,881,009
  5. Step 5: Solve for x
    x = 3,781,881,009/46,257
  6. Step 6: Final answer
    x = 81,758.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.