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Finding the Third Proportional to 10,114.88 and 22,075.03

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Solution

The third proportional to 10,114.88 and 22,075.03 is: 48,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 22,075.03 = 22,075.03 : x
  2. Step 2: Convert to fraction form
    10,114.88/22,075.03 = 22,075.03/x
  3. Step 3: Cross multiply
    10,114.88x = 22,075.03 × 22,075.03
  4. Step 4: Simplify right side
    10,114.88x = 487,307,004.69
  5. Step 5: Solve for x
    x = 487,307,004.69/10,114.88
  6. Step 6: Final answer
    x = 48,177.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.