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Finding the Third Proportional to 22,687.88 and 52,075.13

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Solution

The third proportional to 22,687.88 and 52,075.13 is: 119,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.88 : 52,075.13 = 52,075.13 : x
  2. Step 2: Convert to fraction form
    22,687.88/52,075.13 = 52,075.13/x
  3. Step 3: Cross multiply
    22,687.88x = 52,075.13 × 52,075.13
  4. Step 4: Simplify right side
    22,687.88x = 2,711,818,643.77
  5. Step 5: Solve for x
    x = 2,711,818,643.77/22,687.88
  6. Step 6: Final answer
    x = 119,527.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.