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Finding the Third Proportional to 46,531 and 66,462

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Solution

The third proportional to 46,531 and 66,462 is: 94,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,531 : 66,462 = 66,462 : x
  2. Step 2: Convert to fraction form
    46,531/66,462 = 66,462/x
  3. Step 3: Cross multiply
    46,531x = 66,462 × 66,462
  4. Step 4: Simplify right side
    46,531x = 4,417,197,444
  5. Step 5: Solve for x
    x = 4,417,197,444/46,531
  6. Step 6: Final answer
    x = 94,930.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.