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Finding the Third Proportional to 46,219 and 66,046

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Solution

The third proportional to 46,219 and 66,046 is: 94,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,219 : 66,046 = 66,046 : x
  2. Step 2: Convert to fraction form
    46,219/66,046 = 66,046/x
  3. Step 3: Cross multiply
    46,219x = 66,046 × 66,046
  4. Step 4: Simplify right side
    46,219x = 4,362,074,116
  5. Step 5: Solve for x
    x = 4,362,074,116/46,219
  6. Step 6: Final answer
    x = 94,378.38

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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.