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Finding the Third Proportional to 19,459 and 29,674.50

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Solution

The third proportional to 19,459 and 29,674.50 is: 45,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459 : 29,674.50 = 29,674.50 : x
  2. Step 2: Convert to fraction form
    19,459/29,674.50 = 29,674.50/x
  3. Step 3: Cross multiply
    19,459x = 29,674.50 × 29,674.50
  4. Step 4: Simplify right side
    19,459x = 880,575,950.25
  5. Step 5: Solve for x
    x = 880,575,950.25/19,459
  6. Step 6: Final answer
    x = 45,252.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.