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Finding the Third Proportional to 46,000 and 72,964

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Solution

The third proportional to 46,000 and 72,964 is: 115,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,000 : 72,964 = 72,964 : x
  2. Step 2: Convert to fraction form
    46,000/72,964 = 72,964/x
  3. Step 3: Cross multiply
    46,000x = 72,964 × 72,964
  4. Step 4: Simplify right side
    46,000x = 5,323,745,296
  5. Step 5: Solve for x
    x = 5,323,745,296/46,000
  6. Step 6: Final answer
    x = 115,733.59

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Why These Related Problems?

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