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Finding the Third Proportional to 52,741.75 and 70,453.75

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Solution

The third proportional to 52,741.75 and 70,453.75 is: 94,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741.75 : 70,453.75 = 70,453.75 : x
  2. Step 2: Convert to fraction form
    52,741.75/70,453.75 = 70,453.75/x
  3. Step 3: Cross multiply
    52,741.75x = 70,453.75 × 70,453.75
  4. Step 4: Simplify right side
    52,741.75x = 4,963,730,889.06
  5. Step 5: Solve for x
    x = 4,963,730,889.06/52,741.75
  6. Step 6: Final answer
    x = 94,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.