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Finding the Third Proportional to 29,082 and 61,428

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Solution

The third proportional to 29,082 and 61,428 is: 129,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082 : 61,428 = 61,428 : x
  2. Step 2: Convert to fraction form
    29,082/61,428 = 61,428/x
  3. Step 3: Cross multiply
    29,082x = 61,428 × 61,428
  4. Step 4: Simplify right side
    29,082x = 3,773,399,184
  5. Step 5: Solve for x
    x = 3,773,399,184/29,082
  6. Step 6: Final answer
    x = 129,750.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.