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Finding the Third Proportional to 10,468.75 and 14,215.75

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Solution

The third proportional to 10,468.75 and 14,215.75 is: 19,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.75 : 14,215.75 = 14,215.75 : x
  2. Step 2: Convert to fraction form
    10,468.75/14,215.75 = 14,215.75/x
  3. Step 3: Cross multiply
    10,468.75x = 14,215.75 × 14,215.75
  4. Step 4: Simplify right side
    10,468.75x = 202,087,548.06
  5. Step 5: Solve for x
    x = 202,087,548.06/10,468.75
  6. Step 6: Final answer
    x = 19,303.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.