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Finding the Third Proportional to 3,539.95 and 7,762.08

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Solution

The third proportional to 3,539.95 and 7,762.08 is: 17,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.95 : 7,762.08 = 7,762.08 : x
  2. Step 2: Convert to fraction form
    3,539.95/7,762.08 = 7,762.08/x
  3. Step 3: Cross multiply
    3,539.95x = 7,762.08 × 7,762.08
  4. Step 4: Simplify right side
    3,539.95x = 60,249,856.82
  5. Step 5: Solve for x
    x = 60,249,856.82/3,539.95
  6. Step 6: Final answer
    x = 17,019.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.