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Finding the Third Proportional to 4,038.75 and 9,577.13

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Solution

The third proportional to 4,038.75 and 9,577.13 is: 22,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.75 : 9,577.13 = 9,577.13 : x
  2. Step 2: Convert to fraction form
    4,038.75/9,577.13 = 9,577.13/x
  3. Step 3: Cross multiply
    4,038.75x = 9,577.13 × 9,577.13
  4. Step 4: Simplify right side
    4,038.75x = 91,721,323.27
  5. Step 5: Solve for x
    x = 91,721,323.27/4,038.75
  6. Step 6: Final answer
    x = 22,710.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.