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Finding the Third Proportional to 4,547.44 and 7,008.47

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Solution

The third proportional to 4,547.44 and 7,008.47 is: 10,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.44 : 7,008.47 = 7,008.47 : x
  2. Step 2: Convert to fraction form
    4,547.44/7,008.47 = 7,008.47/x
  3. Step 3: Cross multiply
    4,547.44x = 7,008.47 × 7,008.47
  4. Step 4: Simplify right side
    4,547.44x = 49,118,634.22
  5. Step 5: Solve for x
    x = 49,118,634.22/4,547.44
  6. Step 6: Final answer
    x = 10,801.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.