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Finding the Third Proportional to 1,547.06 and 3,400.31

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Solution

The third proportional to 1,547.06 and 3,400.31 is: 7,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.06 : 3,400.31 = 3,400.31 : x
  2. Step 2: Convert to fraction form
    1,547.06/3,400.31 = 3,400.31/x
  3. Step 3: Cross multiply
    1,547.06x = 3,400.31 × 3,400.31
  4. Step 4: Simplify right side
    1,547.06x = 11,562,125.10
  5. Step 5: Solve for x
    x = 11,562,125.10/1,547.06
  6. Step 6: Final answer
    x = 7,473.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.