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Finding the Third Proportional to 4,770 and 7,335

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Solution

The third proportional to 4,770 and 7,335 is: 11,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 7,335 = 7,335 : x
  2. Step 2: Convert to fraction form
    4,770/7,335 = 7,335/x
  3. Step 3: Cross multiply
    4,770x = 7,335 × 7,335
  4. Step 4: Simplify right side
    4,770x = 53,802,225
  5. Step 5: Solve for x
    x = 53,802,225/4,770
  6. Step 6: Final answer
    x = 11,279.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.