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Finding the Third Proportional to 30,488 and 46,054

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Solution

The third proportional to 30,488 and 46,054 is: 69,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488 : 46,054 = 46,054 : x
  2. Step 2: Convert to fraction form
    30,488/46,054 = 46,054/x
  3. Step 3: Cross multiply
    30,488x = 46,054 × 46,054
  4. Step 4: Simplify right side
    30,488x = 2,120,970,916
  5. Step 5: Solve for x
    x = 2,120,970,916/30,488
  6. Step 6: Final answer
    x = 69,567.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.