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Finding the Third Proportional to 46,145 and 65,987

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Solution

The third proportional to 46,145 and 65,987 is: 94,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,145 : 65,987 = 65,987 : x
  2. Step 2: Convert to fraction form
    46,145/65,987 = 65,987/x
  3. Step 3: Cross multiply
    46,145x = 65,987 × 65,987
  4. Step 4: Simplify right side
    46,145x = 4,354,284,169
  5. Step 5: Solve for x
    x = 4,354,284,169/46,145
  6. Step 6: Final answer
    x = 94,360.91

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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.