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Finding the Third Proportional to 58,324 and 77,280

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Solution

The third proportional to 58,324 and 77,280 is: 102,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,324 : 77,280 = 77,280 : x
  2. Step 2: Convert to fraction form
    58,324/77,280 = 77,280/x
  3. Step 3: Cross multiply
    58,324x = 77,280 × 77,280
  4. Step 4: Simplify right side
    58,324x = 5,972,198,400
  5. Step 5: Solve for x
    x = 5,972,198,400/58,324
  6. Step 6: Final answer
    x = 102,396.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.