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Finding the Third Proportional to 14,266.50 and 22,410

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Solution

The third proportional to 14,266.50 and 22,410 is: 35,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.50 : 22,410 = 22,410 : x
  2. Step 2: Convert to fraction form
    14,266.50/22,410 = 22,410/x
  3. Step 3: Cross multiply
    14,266.50x = 22,410 × 22,410
  4. Step 4: Simplify right side
    14,266.50x = 502,208,100
  5. Step 5: Solve for x
    x = 502,208,100/14,266.50
  6. Step 6: Final answer
    x = 35,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.