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Finding the Third Proportional to 6,281.30 and 13,594.08

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Solution

The third proportional to 6,281.30 and 13,594.08 is: 29,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.30 : 13,594.08 = 13,594.08 : x
  2. Step 2: Convert to fraction form
    6,281.30/13,594.08 = 13,594.08/x
  3. Step 3: Cross multiply
    6,281.30x = 13,594.08 × 13,594.08
  4. Step 4: Simplify right side
    6,281.30x = 184,798,960.07
  5. Step 5: Solve for x
    x = 184,798,960.07/6,281.30
  6. Step 6: Final answer
    x = 29,420.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.