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Finding the Third Proportional to 960.61 and 1,547.23

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Solution

The third proportional to 960.61 and 1,547.23 is: 2,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.61 : 1,547.23 = 1,547.23 : x
  2. Step 2: Convert to fraction form
    960.61/1,547.23 = 1,547.23/x
  3. Step 3: Cross multiply
    960.61x = 1,547.23 × 1,547.23
  4. Step 4: Simplify right side
    960.61x = 2,393,910.04
  5. Step 5: Solve for x
    x = 2,393,910.04/960.61
  6. Step 6: Final answer
    x = 2,492.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.