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Finding the Third Proportional to 31,384 and 46,029

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Solution

The third proportional to 31,384 and 46,029 is: 67,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384 : 46,029 = 46,029 : x
  2. Step 2: Convert to fraction form
    31,384/46,029 = 46,029/x
  3. Step 3: Cross multiply
    31,384x = 46,029 × 46,029
  4. Step 4: Simplify right side
    31,384x = 2,118,668,841
  5. Step 5: Solve for x
    x = 2,118,668,841/31,384
  6. Step 6: Final answer
    x = 67,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.