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Finding the Third Proportional to 10,406.25 and 15,242.63

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Solution

The third proportional to 10,406.25 and 15,242.63 is: 22,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.25 : 15,242.63 = 15,242.63 : x
  2. Step 2: Convert to fraction form
    10,406.25/15,242.63 = 15,242.63/x
  3. Step 3: Cross multiply
    10,406.25x = 15,242.63 × 15,242.63
  4. Step 4: Simplify right side
    10,406.25x = 232,337,616.89
  5. Step 5: Solve for x
    x = 232,337,616.89/10,406.25
  6. Step 6: Final answer
    x = 22,326.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.