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Finding the Third Proportional to 21,934.50 and 46,161

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Solution

The third proportional to 21,934.50 and 46,161 is: 97,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.50 : 46,161 = 46,161 : x
  2. Step 2: Convert to fraction form
    21,934.50/46,161 = 46,161/x
  3. Step 3: Cross multiply
    21,934.50x = 46,161 × 46,161
  4. Step 4: Simplify right side
    21,934.50x = 2,130,837,921
  5. Step 5: Solve for x
    x = 2,130,837,921/21,934.50
  6. Step 6: Final answer
    x = 97,145.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.