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Finding the Third Proportional to 10,459.13 and 24,203.81

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Solution

The third proportional to 10,459.13 and 24,203.81 is: 56,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.13 : 24,203.81 = 24,203.81 : x
  2. Step 2: Convert to fraction form
    10,459.13/24,203.81 = 24,203.81/x
  3. Step 3: Cross multiply
    10,459.13x = 24,203.81 × 24,203.81
  4. Step 4: Simplify right side
    10,459.13x = 585,824,539.54
  5. Step 5: Solve for x
    x = 585,824,539.54/10,459.13
  6. Step 6: Final answer
    x = 56,010.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.