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Finding the Third Proportional to 762.19 and 1,648.13

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Solution

The third proportional to 762.19 and 1,648.13 is: 3,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.19 : 1,648.13 = 1,648.13 : x
  2. Step 2: Convert to fraction form
    762.19/1,648.13 = 1,648.13/x
  3. Step 3: Cross multiply
    762.19x = 1,648.13 × 1,648.13
  4. Step 4: Simplify right side
    762.19x = 2,716,316.02
  5. Step 5: Solve for x
    x = 2,716,316.02/762.19
  6. Step 6: Final answer
    x = 3,563.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.