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Finding the Third Proportional to 4,770 and 11,597

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Solution

The third proportional to 4,770 and 11,597 is: 28,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 11,597 = 11,597 : x
  2. Step 2: Convert to fraction form
    4,770/11,597 = 11,597/x
  3. Step 3: Cross multiply
    4,770x = 11,597 × 11,597
  4. Step 4: Simplify right side
    4,770x = 134,490,409
  5. Step 5: Solve for x
    x = 134,490,409/4,770
  6. Step 6: Final answer
    x = 28,195.05

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.