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Finding the Third Proportional to 5,705.28 and 9,114.64

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Solution

The third proportional to 5,705.28 and 9,114.64 is: 14,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.28 : 9,114.64 = 9,114.64 : x
  2. Step 2: Convert to fraction form
    5,705.28/9,114.64 = 9,114.64/x
  3. Step 3: Cross multiply
    5,705.28x = 9,114.64 × 9,114.64
  4. Step 4: Simplify right side
    5,705.28x = 83,076,584.71
  5. Step 5: Solve for x
    x = 83,076,584.71/5,705.28
  6. Step 6: Final answer
    x = 14,561.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.