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Finding the Third Proportional to 5,711.13 and 13,220.40

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Solution

The third proportional to 5,711.13 and 13,220.40 is: 30,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.13 : 13,220.40 = 13,220.40 : x
  2. Step 2: Convert to fraction form
    5,711.13/13,220.40 = 13,220.40/x
  3. Step 3: Cross multiply
    5,711.13x = 13,220.40 × 13,220.40
  4. Step 4: Simplify right side
    5,711.13x = 174,779,038.13
  5. Step 5: Solve for x
    x = 174,779,038.13/5,711.13
  6. Step 6: Final answer
    x = 30,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.