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Finding the Third Proportional to 10,130.06 and 15,519.09

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Solution

The third proportional to 10,130.06 and 15,519.09 is: 23,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 15,519.09 = 15,519.09 : x
  2. Step 2: Convert to fraction form
    10,130.06/15,519.09 = 15,519.09/x
  3. Step 3: Cross multiply
    10,130.06x = 15,519.09 × 15,519.09
  4. Step 4: Simplify right side
    10,130.06x = 240,842,270.82
  5. Step 5: Solve for x
    x = 240,842,270.82/10,130.06
  6. Step 6: Final answer
    x = 23,775.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.