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Finding the Third Proportional to 4,023 and 10,477.50

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Solution

The third proportional to 4,023 and 10,477.50 is: 27,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023 : 10,477.50 = 10,477.50 : x
  2. Step 2: Convert to fraction form
    4,023/10,477.50 = 10,477.50/x
  3. Step 3: Cross multiply
    4,023x = 10,477.50 × 10,477.50
  4. Step 4: Simplify right side
    4,023x = 109,778,006.25
  5. Step 5: Solve for x
    x = 109,778,006.25/4,023
  6. Step 6: Final answer
    x = 27,287.60

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.