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Finding the Third Proportional to 46,470 and 73,850

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Solution

The third proportional to 46,470 and 73,850 is: 117,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470 : 73,850 = 73,850 : x
  2. Step 2: Convert to fraction form
    46,470/73,850 = 73,850/x
  3. Step 3: Cross multiply
    46,470x = 73,850 × 73,850
  4. Step 4: Simplify right side
    46,470x = 5,453,822,500
  5. Step 5: Solve for x
    x = 5,453,822,500/46,470
  6. Step 6: Final answer
    x = 117,362.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.