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Finding the Third Proportional to 19,989 and 46,280.25

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Solution

The third proportional to 19,989 and 46,280.25 is: 107,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989 : 46,280.25 = 46,280.25 : x
  2. Step 2: Convert to fraction form
    19,989/46,280.25 = 46,280.25/x
  3. Step 3: Cross multiply
    19,989x = 46,280.25 × 46,280.25
  4. Step 4: Simplify right side
    19,989x = 2,141,861,540.06
  5. Step 5: Solve for x
    x = 2,141,861,540.06/19,989
  6. Step 6: Final answer
    x = 107,152.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.