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Finding the Third Proportional to 34,045.31 and 52,503.19

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Solution

The third proportional to 34,045.31 and 52,503.19 is: 80,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045.31 : 52,503.19 = 52,503.19 : x
  2. Step 2: Convert to fraction form
    34,045.31/52,503.19 = 52,503.19/x
  3. Step 3: Cross multiply
    34,045.31x = 52,503.19 × 52,503.19
  4. Step 4: Simplify right side
    34,045.31x = 2,756,584,697.66
  5. Step 5: Solve for x
    x = 2,756,584,697.66/34,045.31
  6. Step 6: Final answer
    x = 80,968.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.