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Finding the Third Proportional to 1,547.16 and 3,225.94

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Solution

The third proportional to 1,547.16 and 3,225.94 is: 6,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.16 : 3,225.94 = 3,225.94 : x
  2. Step 2: Convert to fraction form
    1,547.16/3,225.94 = 3,225.94/x
  3. Step 3: Cross multiply
    1,547.16x = 3,225.94 × 3,225.94
  4. Step 4: Simplify right side
    1,547.16x = 10,406,672.75
  5. Step 5: Solve for x
    x = 10,406,672.75/1,547.16
  6. Step 6: Final answer
    x = 6,726.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.