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Finding the Third Proportional to 19,173 and 29,614.50

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Solution

The third proportional to 19,173 and 29,614.50 is: 45,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,173 : 29,614.50 = 29,614.50 : x
  2. Step 2: Convert to fraction form
    19,173/29,614.50 = 29,614.50/x
  3. Step 3: Cross multiply
    19,173x = 29,614.50 × 29,614.50
  4. Step 4: Simplify right side
    19,173x = 877,018,610.25
  5. Step 5: Solve for x
    x = 877,018,610.25/19,173
  6. Step 6: Final answer
    x = 45,742.38

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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.