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Finding the Third Proportional to 19,522 and 46,028

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Solution

The third proportional to 19,522 and 46,028 is: 108,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522 : 46,028 = 46,028 : x
  2. Step 2: Convert to fraction form
    19,522/46,028 = 46,028/x
  3. Step 3: Cross multiply
    19,522x = 46,028 × 46,028
  4. Step 4: Simplify right side
    19,522x = 2,118,576,784
  5. Step 5: Solve for x
    x = 2,118,576,784/19,522
  6. Step 6: Final answer
    x = 108,522.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.