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Finding the Third Proportional to 34,035.19 and 47,605.22

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Solution

The third proportional to 34,035.19 and 47,605.22 is: 66,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.19 : 47,605.22 = 47,605.22 : x
  2. Step 2: Convert to fraction form
    34,035.19/47,605.22 = 47,605.22/x
  3. Step 3: Cross multiply
    34,035.19x = 47,605.22 × 47,605.22
  4. Step 4: Simplify right side
    34,035.19x = 2,266,256,852.24
  5. Step 5: Solve for x
    x = 2,266,256,852.24/34,035.19
  6. Step 6: Final answer
    x = 66,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.