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Finding the Third Proportional to 46,948 and 97,004

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Solution

The third proportional to 46,948 and 97,004 is: 200,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948 : 97,004 = 97,004 : x
  2. Step 2: Convert to fraction form
    46,948/97,004 = 97,004/x
  3. Step 3: Cross multiply
    46,948x = 97,004 × 97,004
  4. Step 4: Simplify right side
    46,948x = 9,409,776,016
  5. Step 5: Solve for x
    x = 9,409,776,016/46,948
  6. Step 6: Final answer
    x = 200,429.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.