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Finding the Third Proportional to 10,259.63 and 22,102.32

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Solution

The third proportional to 10,259.63 and 22,102.32 is: 47,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.63 : 22,102.32 = 22,102.32 : x
  2. Step 2: Convert to fraction form
    10,259.63/22,102.32 = 22,102.32/x
  3. Step 3: Cross multiply
    10,259.63x = 22,102.32 × 22,102.32
  4. Step 4: Simplify right side
    10,259.63x = 488,512,606.36
  5. Step 5: Solve for x
    x = 488,512,606.36/10,259.63
  6. Step 6: Final answer
    x = 47,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.