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Finding the Third Proportional to 14,872.50 and 23,130

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Solution

The third proportional to 14,872.50 and 23,130 is: 35,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.50 : 23,130 = 23,130 : x
  2. Step 2: Convert to fraction form
    14,872.50/23,130 = 23,130/x
  3. Step 3: Cross multiply
    14,872.50x = 23,130 × 23,130
  4. Step 4: Simplify right side
    14,872.50x = 534,996,900
  5. Step 5: Solve for x
    x = 534,996,900/14,872.50
  6. Step 6: Final answer
    x = 35,972.22

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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.