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Finding the Third Proportional to 29,184 and 59,808

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Solution

The third proportional to 29,184 and 59,808 is: 122,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 59,808 = 59,808 : x
  2. Step 2: Convert to fraction form
    29,184/59,808 = 59,808/x
  3. Step 3: Cross multiply
    29,184x = 59,808 × 59,808
  4. Step 4: Simplify right side
    29,184x = 3,576,996,864
  5. Step 5: Solve for x
    x = 3,576,996,864/29,184
  6. Step 6: Final answer
    x = 122,567.05

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Why These Related Problems?

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