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Finding the Third Proportional to 3,164.63 and 5,430.94

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Solution

The third proportional to 3,164.63 and 5,430.94 is: 9,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.63 : 5,430.94 = 5,430.94 : x
  2. Step 2: Convert to fraction form
    3,164.63/5,430.94 = 5,430.94/x
  3. Step 3: Cross multiply
    3,164.63x = 5,430.94 × 5,430.94
  4. Step 4: Simplify right side
    3,164.63x = 29,495,082.13
  5. Step 5: Solve for x
    x = 29,495,082.13/3,164.63
  6. Step 6: Final answer
    x = 9,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.