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Finding the Third Proportional to 19,706 and 28,951

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Solution

The third proportional to 19,706 and 28,951 is: 42,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706 : 28,951 = 28,951 : x
  2. Step 2: Convert to fraction form
    19,706/28,951 = 28,951/x
  3. Step 3: Cross multiply
    19,706x = 28,951 × 28,951
  4. Step 4: Simplify right side
    19,706x = 838,160,401
  5. Step 5: Solve for x
    x = 838,160,401/19,706
  6. Step 6: Final answer
    x = 42,533.26

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