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Finding the Third Proportional to 31,097.81 and 46,802.81

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Solution

The third proportional to 31,097.81 and 46,802.81 is: 70,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.81 : 46,802.81 = 46,802.81 : x
  2. Step 2: Convert to fraction form
    31,097.81/46,802.81 = 46,802.81/x
  3. Step 3: Cross multiply
    31,097.81x = 46,802.81 × 46,802.81
  4. Step 4: Simplify right side
    31,097.81x = 2,190,503,257.91
  5. Step 5: Solve for x
    x = 2,190,503,257.91/31,097.81
  6. Step 6: Final answer
    x = 70,439.14

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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.