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Finding the Third Proportional to 10,090.63 and 15,749.06

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Solution

The third proportional to 10,090.63 and 15,749.06 is: 24,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.63 : 15,749.06 = 15,749.06 : x
  2. Step 2: Convert to fraction form
    10,090.63/15,749.06 = 15,749.06/x
  3. Step 3: Cross multiply
    10,090.63x = 15,749.06 × 15,749.06
  4. Step 4: Simplify right side
    10,090.63x = 248,032,969.63
  5. Step 5: Solve for x
    x = 248,032,969.63/10,090.63
  6. Step 6: Final answer
    x = 24,580.54

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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.