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Finding the Third Proportional to 9,720 and 23,430

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Solution

The third proportional to 9,720 and 23,430 is: 56,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 23,430 = 23,430 : x
  2. Step 2: Convert to fraction form
    9,720/23,430 = 23,430/x
  3. Step 3: Cross multiply
    9,720x = 23,430 × 23,430
  4. Step 4: Simplify right side
    9,720x = 548,964,900
  5. Step 5: Solve for x
    x = 548,964,900/9,720
  6. Step 6: Final answer
    x = 56,477.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.