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Finding the Third Proportional to 1,547.54 and 2,328.67

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Solution

The third proportional to 1,547.54 and 2,328.67 is: 3,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.54 : 2,328.67 = 2,328.67 : x
  2. Step 2: Convert to fraction form
    1,547.54/2,328.67 = 2,328.67/x
  3. Step 3: Cross multiply
    1,547.54x = 2,328.67 × 2,328.67
  4. Step 4: Simplify right side
    1,547.54x = 5,422,708.15
  5. Step 5: Solve for x
    x = 5,422,708.15/1,547.54
  6. Step 6: Final answer
    x = 3,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.