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Finding the Third Proportional to 9,087 and 13,294.50

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Solution

The third proportional to 9,087 and 13,294.50 is: 19,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087 : 13,294.50 = 13,294.50 : x
  2. Step 2: Convert to fraction form
    9,087/13,294.50 = 13,294.50/x
  3. Step 3: Cross multiply
    9,087x = 13,294.50 × 13,294.50
  4. Step 4: Simplify right side
    9,087x = 176,743,730.25
  5. Step 5: Solve for x
    x = 176,743,730.25/9,087
  6. Step 6: Final answer
    x = 19,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.