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Finding the Third Proportional to 21,919.50 and 46,569

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Solution

The third proportional to 21,919.50 and 46,569 is: 98,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.50 : 46,569 = 46,569 : x
  2. Step 2: Convert to fraction form
    21,919.50/46,569 = 46,569/x
  3. Step 3: Cross multiply
    21,919.50x = 46,569 × 46,569
  4. Step 4: Simplify right side
    21,919.50x = 2,168,671,761
  5. Step 5: Solve for x
    x = 2,168,671,761/21,919.50
  6. Step 6: Final answer
    x = 98,938.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.