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Finding the Third Proportional to 45,038.53 and 70,052.34

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Solution

The third proportional to 45,038.53 and 70,052.34 is: 108,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038.53 : 70,052.34 = 70,052.34 : x
  2. Step 2: Convert to fraction form
    45,038.53/70,052.34 = 70,052.34/x
  3. Step 3: Cross multiply
    45,038.53x = 70,052.34 × 70,052.34
  4. Step 4: Simplify right side
    45,038.53x = 4,907,330,864.87
  5. Step 5: Solve for x
    x = 4,907,330,864.87/45,038.53
  6. Step 6: Final answer
    x = 108,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.