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Finding the Third Proportional to 5,420.04 and 12,476.53

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Solution

The third proportional to 5,420.04 and 12,476.53 is: 28,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.04 : 12,476.53 = 12,476.53 : x
  2. Step 2: Convert to fraction form
    5,420.04/12,476.53 = 12,476.53/x
  3. Step 3: Cross multiply
    5,420.04x = 12,476.53 × 12,476.53
  4. Step 4: Simplify right side
    5,420.04x = 155,663,832.03
  5. Step 5: Solve for x
    x = 155,663,832.03/5,420.04
  6. Step 6: Final answer
    x = 28,720.06

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.