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Finding the Third Proportional to 31,604 and 46,106

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Solution

The third proportional to 31,604 and 46,106 is: 67,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604 : 46,106 = 46,106 : x
  2. Step 2: Convert to fraction form
    31,604/46,106 = 46,106/x
  3. Step 3: Cross multiply
    31,604x = 46,106 × 46,106
  4. Step 4: Simplify right side
    31,604x = 2,125,763,236
  5. Step 5: Solve for x
    x = 2,125,763,236/31,604
  6. Step 6: Final answer
    x = 67,262.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.