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Finding the Third Proportional to 2,160 and 4,590

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Solution

The third proportional to 2,160 and 4,590 is: 9,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160 : 4,590 = 4,590 : x
  2. Step 2: Convert to fraction form
    2,160/4,590 = 4,590/x
  3. Step 3: Cross multiply
    2,160x = 4,590 × 4,590
  4. Step 4: Simplify right side
    2,160x = 21,068,100
  5. Step 5: Solve for x
    x = 21,068,100/2,160
  6. Step 6: Final answer
    x = 9,753.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.