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Finding the Third Proportional to 2,880.14 and 6,215.91

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Solution

The third proportional to 2,880.14 and 6,215.91 is: 13,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.14 : 6,215.91 = 6,215.91 : x
  2. Step 2: Convert to fraction form
    2,880.14/6,215.91 = 6,215.91/x
  3. Step 3: Cross multiply
    2,880.14x = 6,215.91 × 6,215.91
  4. Step 4: Simplify right side
    2,880.14x = 38,637,490.51
  5. Step 5: Solve for x
    x = 38,637,490.51/2,880.14
  6. Step 6: Final answer
    x = 13,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.