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Finding the Third Proportional to 14,770 and 32,790

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Solution

The third proportional to 14,770 and 32,790 is: 72,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770 : 32,790 = 32,790 : x
  2. Step 2: Convert to fraction form
    14,770/32,790 = 32,790/x
  3. Step 3: Cross multiply
    14,770x = 32,790 × 32,790
  4. Step 4: Simplify right side
    14,770x = 1,075,184,100
  5. Step 5: Solve for x
    x = 1,075,184,100/14,770
  6. Step 6: Final answer
    x = 72,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.