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Finding the Third Proportional to 4,316.63 and 5,643.56

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Solution

The third proportional to 4,316.63 and 5,643.56 is: 7,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.63 : 5,643.56 = 5,643.56 : x
  2. Step 2: Convert to fraction form
    4,316.63/5,643.56 = 5,643.56/x
  3. Step 3: Cross multiply
    4,316.63x = 5,643.56 × 5,643.56
  4. Step 4: Simplify right side
    4,316.63x = 31,849,797.69
  5. Step 5: Solve for x
    x = 31,849,797.69/4,316.63
  6. Step 6: Final answer
    x = 7,378.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.