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Finding the Third Proportional to 46,905 and 66,054

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Solution

The third proportional to 46,905 and 66,054 is: 93,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,905 : 66,054 = 66,054 : x
  2. Step 2: Convert to fraction form
    46,905/66,054 = 66,054/x
  3. Step 3: Cross multiply
    46,905x = 66,054 × 66,054
  4. Step 4: Simplify right side
    46,905x = 4,363,130,916
  5. Step 5: Solve for x
    x = 4,363,130,916/46,905
  6. Step 6: Final answer
    x = 93,020.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.