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Finding the Third Proportional to 30,091 and 46,745

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Solution

The third proportional to 30,091 and 46,745 is: 72,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091 : 46,745 = 46,745 : x
  2. Step 2: Convert to fraction form
    30,091/46,745 = 46,745/x
  3. Step 3: Cross multiply
    30,091x = 46,745 × 46,745
  4. Step 4: Simplify right side
    30,091x = 2,185,095,025
  5. Step 5: Solve for x
    x = 2,185,095,025/30,091
  6. Step 6: Final answer
    x = 72,616.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.