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Finding the Third Proportional to 46,146 and 65,989

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Solution

The third proportional to 46,146 and 65,989 is: 94,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,146 : 65,989 = 65,989 : x
  2. Step 2: Convert to fraction form
    46,146/65,989 = 65,989/x
  3. Step 3: Cross multiply
    46,146x = 65,989 × 65,989
  4. Step 4: Simplify right side
    46,146x = 4,354,548,121
  5. Step 5: Solve for x
    x = 4,354,548,121/46,146
  6. Step 6: Final answer
    x = 94,364.58

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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.