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Finding the Third Proportional to 46,091 and 69,461

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Solution

The third proportional to 46,091 and 69,461 is: 104,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,091 : 69,461 = 69,461 : x
  2. Step 2: Convert to fraction form
    46,091/69,461 = 69,461/x
  3. Step 3: Cross multiply
    46,091x = 69,461 × 69,461
  4. Step 4: Simplify right side
    46,091x = 4,824,830,521
  5. Step 5: Solve for x
    x = 4,824,830,521/46,091
  6. Step 6: Final answer
    x = 104,680.53

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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.