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Finding the Third Proportional to 14,076 and 21,210.75

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Solution

The third proportional to 14,076 and 21,210.75 is: 31,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 21,210.75 = 21,210.75 : x
  2. Step 2: Convert to fraction form
    14,076/21,210.75 = 21,210.75/x
  3. Step 3: Cross multiply
    14,076x = 21,210.75 × 21,210.75
  4. Step 4: Simplify right side
    14,076x = 449,895,915.56
  5. Step 5: Solve for x
    x = 449,895,915.56/14,076
  6. Step 6: Final answer
    x = 31,961.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.