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Finding the Third Proportional to 10,054.13 and 23,375.25

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Solution

The third proportional to 10,054.13 and 23,375.25 is: 54,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 23,375.25 = 23,375.25 : x
  2. Step 2: Convert to fraction form
    10,054.13/23,375.25 = 23,375.25/x
  3. Step 3: Cross multiply
    10,054.13x = 23,375.25 × 23,375.25
  4. Step 4: Simplify right side
    10,054.13x = 546,402,312.56
  5. Step 5: Solve for x
    x = 546,402,312.56/10,054.13
  6. Step 6: Final answer
    x = 54,346.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.