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Finding the Third Proportional to 19,130 and 28,065

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Solution

The third proportional to 19,130 and 28,065 is: 41,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130 : 28,065 = 28,065 : x
  2. Step 2: Convert to fraction form
    19,130/28,065 = 28,065/x
  3. Step 3: Cross multiply
    19,130x = 28,065 × 28,065
  4. Step 4: Simplify right side
    19,130x = 787,644,225
  5. Step 5: Solve for x
    x = 787,644,225/19,130
  6. Step 6: Final answer
    x = 41,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.