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Finding the Third Proportional to 46,236 and 69,840

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Solution

The third proportional to 46,236 and 69,840 is: 105,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,236 : 69,840 = 69,840 : x
  2. Step 2: Convert to fraction form
    46,236/69,840 = 69,840/x
  3. Step 3: Cross multiply
    46,236x = 69,840 × 69,840
  4. Step 4: Simplify right side
    46,236x = 4,877,625,600
  5. Step 5: Solve for x
    x = 4,877,625,600/46,236
  6. Step 6: Final answer
    x = 105,494.11

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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.