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Finding the Third Proportional to 22,036.50 and 51,970.50

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Solution

The third proportional to 22,036.50 and 51,970.50 is: 122,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.50 : 51,970.50 = 51,970.50 : x
  2. Step 2: Convert to fraction form
    22,036.50/51,970.50 = 51,970.50/x
  3. Step 3: Cross multiply
    22,036.50x = 51,970.50 × 51,970.50
  4. Step 4: Simplify right side
    22,036.50x = 2,700,932,870.25
  5. Step 5: Solve for x
    x = 2,700,932,870.25/22,036.50
  6. Step 6: Final answer
    x = 122,566.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.