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Finding the Third Proportional to 30,807.75 and 63,075.38

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Solution

The third proportional to 30,807.75 and 63,075.38 is: 129,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.75 : 63,075.38 = 63,075.38 : x
  2. Step 2: Convert to fraction form
    30,807.75/63,075.38 = 63,075.38/x
  3. Step 3: Cross multiply
    30,807.75x = 63,075.38 × 63,075.38
  4. Step 4: Simplify right side
    30,807.75x = 3,978,502,931.39
  5. Step 5: Solve for x
    x = 3,978,502,931.39/30,807.75
  6. Step 6: Final answer
    x = 129,139.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.