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Finding the Third Proportional to 34,005 and 65,008.50

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Solution

The third proportional to 34,005 and 65,008.50 is: 124,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005 : 65,008.50 = 65,008.50 : x
  2. Step 2: Convert to fraction form
    34,005/65,008.50 = 65,008.50/x
  3. Step 3: Cross multiply
    34,005x = 65,008.50 × 65,008.50
  4. Step 4: Simplify right side
    34,005x = 4,226,105,072.25
  5. Step 5: Solve for x
    x = 4,226,105,072.25/34,005
  6. Step 6: Final answer
    x = 124,278.93

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.