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Finding the Third Proportional to 34,047 and 45,505.50

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Solution

The third proportional to 34,047 and 45,505.50 is: 60,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047 : 45,505.50 = 45,505.50 : x
  2. Step 2: Convert to fraction form
    34,047/45,505.50 = 45,505.50/x
  3. Step 3: Cross multiply
    34,047x = 45,505.50 × 45,505.50
  4. Step 4: Simplify right side
    34,047x = 2,070,750,530.25
  5. Step 5: Solve for x
    x = 2,070,750,530.25/34,047
  6. Step 6: Final answer
    x = 60,820.35

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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.