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Finding the Third Proportional to 24,347.25 and 52,393.50

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Solution

The third proportional to 24,347.25 and 52,393.50 is: 112,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.25 : 52,393.50 = 52,393.50 : x
  2. Step 2: Convert to fraction form
    24,347.25/52,393.50 = 52,393.50/x
  3. Step 3: Cross multiply
    24,347.25x = 52,393.50 × 52,393.50
  4. Step 4: Simplify right side
    24,347.25x = 2,745,078,842.25
  5. Step 5: Solve for x
    x = 2,745,078,842.25/24,347.25
  6. Step 6: Final answer
    x = 112,746.98

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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.