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Finding the Third Proportional to 46,205.25 and 67,154.25

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Solution

The third proportional to 46,205.25 and 67,154.25 is: 97,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205.25 : 67,154.25 = 67,154.25 : x
  2. Step 2: Convert to fraction form
    46,205.25/67,154.25 = 67,154.25/x
  3. Step 3: Cross multiply
    46,205.25x = 67,154.25 × 67,154.25
  4. Step 4: Simplify right side
    46,205.25x = 4,509,693,293.06
  5. Step 5: Solve for x
    x = 4,509,693,293.06/46,205.25
  6. Step 6: Final answer
    x = 97,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.