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Finding the Third Proportional to 5,725.13 and 9,106.88

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Solution

The third proportional to 5,725.13 and 9,106.88 is: 14,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.13 : 9,106.88 = 9,106.88 : x
  2. Step 2: Convert to fraction form
    5,725.13/9,106.88 = 9,106.88/x
  3. Step 3: Cross multiply
    5,725.13x = 9,106.88 × 9,106.88
  4. Step 4: Simplify right side
    5,725.13x = 82,935,172.27
  5. Step 5: Solve for x
    x = 82,935,172.27/5,725.13
  6. Step 6: Final answer
    x = 14,486.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.