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Finding the Third Proportional to 10,312.75 and 16,085

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Solution

The third proportional to 10,312.75 and 16,085 is: 25,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.75 : 16,085 = 16,085 : x
  2. Step 2: Convert to fraction form
    10,312.75/16,085 = 16,085/x
  3. Step 3: Cross multiply
    10,312.75x = 16,085 × 16,085
  4. Step 4: Simplify right side
    10,312.75x = 258,727,225
  5. Step 5: Solve for x
    x = 258,727,225/10,312.75
  6. Step 6: Final answer
    x = 25,088.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.