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Finding the Third Proportional to 24,317.40 and 52,267.46

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Solution

The third proportional to 24,317.40 and 52,267.46 is: 112,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.40 : 52,267.46 = 52,267.46 : x
  2. Step 2: Convert to fraction form
    24,317.40/52,267.46 = 52,267.46/x
  3. Step 3: Cross multiply
    24,317.40x = 52,267.46 × 52,267.46
  4. Step 4: Simplify right side
    24,317.40x = 2,731,887,881.19
  5. Step 5: Solve for x
    x = 2,731,887,881.19/24,317.40
  6. Step 6: Final answer
    x = 112,342.92

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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.