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Finding the Third Proportional to 1,055.25 and 1,513.13

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Solution

The third proportional to 1,055.25 and 1,513.13 is: 2,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.25 : 1,513.13 = 1,513.13 : x
  2. Step 2: Convert to fraction form
    1,055.25/1,513.13 = 1,513.13/x
  3. Step 3: Cross multiply
    1,055.25x = 1,513.13 × 1,513.13
  4. Step 4: Simplify right side
    1,055.25x = 2,289,547.27
  5. Step 5: Solve for x
    x = 2,289,547.27/1,055.25
  6. Step 6: Final answer
    x = 2,169.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.