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Finding the Third Proportional to 46,371 and 69,773

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Solution

The third proportional to 46,371 and 69,773 is: 104,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,371 : 69,773 = 69,773 : x
  2. Step 2: Convert to fraction form
    46,371/69,773 = 69,773/x
  3. Step 3: Cross multiply
    46,371x = 69,773 × 69,773
  4. Step 4: Simplify right side
    46,371x = 4,868,271,529
  5. Step 5: Solve for x
    x = 4,868,271,529/46,371
  6. Step 6: Final answer
    x = 104,985.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.