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Finding the Third Proportional to 956.81 and 1,409.12

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Solution

The third proportional to 956.81 and 1,409.12 is: 2,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.81 : 1,409.12 = 1,409.12 : x
  2. Step 2: Convert to fraction form
    956.81/1,409.12 = 1,409.12/x
  3. Step 3: Cross multiply
    956.81x = 1,409.12 × 1,409.12
  4. Step 4: Simplify right side
    956.81x = 1,985,605.74
  5. Step 5: Solve for x
    x = 1,985,605.74/956.81
  6. Step 6: Final answer
    x = 2,075.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.