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Finding the Third Proportional to 19,028 and 29,582

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Solution

The third proportional to 19,028 and 29,582 is: 45,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,028 : 29,582 = 29,582 : x
  2. Step 2: Convert to fraction form
    19,028/29,582 = 29,582/x
  3. Step 3: Cross multiply
    19,028x = 29,582 × 29,582
  4. Step 4: Simplify right side
    19,028x = 875,094,724
  5. Step 5: Solve for x
    x = 875,094,724/19,028
  6. Step 6: Final answer
    x = 45,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.