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Finding the Third Proportional to 1,547.02 and 3,401.58

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Solution

The third proportional to 1,547.02 and 3,401.58 is: 7,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 3,401.58 = 3,401.58 : x
  2. Step 2: Convert to fraction form
    1,547.02/3,401.58 = 3,401.58/x
  3. Step 3: Cross multiply
    1,547.02x = 3,401.58 × 3,401.58
  4. Step 4: Simplify right side
    1,547.02x = 11,570,733.74
  5. Step 5: Solve for x
    x = 11,570,733.74/1,547.02
  6. Step 6: Final answer
    x = 7,479.39

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