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Finding the Third Proportional to 46,220.25 and 66,049.13

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Solution

The third proportional to 46,220.25 and 66,049.13 is: 94,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,220.25 : 66,049.13 = 66,049.13 : x
  2. Step 2: Convert to fraction form
    46,220.25/66,049.13 = 66,049.13/x
  3. Step 3: Cross multiply
    46,220.25x = 66,049.13 × 66,049.13
  4. Step 4: Simplify right side
    46,220.25x = 4,362,486,913.27
  5. Step 5: Solve for x
    x = 4,362,486,913.27/46,220.25
  6. Step 6: Final answer
    x = 94,384.75

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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.