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Finding the Third Proportional to 22,075.50 and 43,036.50

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Solution

The third proportional to 22,075.50 and 43,036.50 is: 83,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.50 : 43,036.50 = 43,036.50 : x
  2. Step 2: Convert to fraction form
    22,075.50/43,036.50 = 43,036.50/x
  3. Step 3: Cross multiply
    22,075.50x = 43,036.50 × 43,036.50
  4. Step 4: Simplify right side
    22,075.50x = 1,852,140,332.25
  5. Step 5: Solve for x
    x = 1,852,140,332.25/22,075.50
  6. Step 6: Final answer
    x = 83,900.27

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.