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Finding the Third Proportional to 46,071 and 69,432

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Solution

The third proportional to 46,071 and 69,432 is: 104,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,071 : 69,432 = 69,432 : x
  2. Step 2: Convert to fraction form
    46,071/69,432 = 69,432/x
  3. Step 3: Cross multiply
    46,071x = 69,432 × 69,432
  4. Step 4: Simplify right side
    46,071x = 4,820,802,624
  5. Step 5: Solve for x
    x = 4,820,802,624/46,071
  6. Step 6: Final answer
    x = 104,638.55

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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.