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Finding the Third Proportional to 9,180 and 14,590

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Solution

The third proportional to 9,180 and 14,590 is: 23,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 14,590 = 14,590 : x
  2. Step 2: Convert to fraction form
    9,180/14,590 = 14,590/x
  3. Step 3: Cross multiply
    9,180x = 14,590 × 14,590
  4. Step 4: Simplify right side
    9,180x = 212,868,100
  5. Step 5: Solve for x
    x = 212,868,100/9,180
  6. Step 6: Final answer
    x = 23,188.25

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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.