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Finding the Third Proportional to 22,687 and 29,656.50

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Solution

The third proportional to 22,687 and 29,656.50 is: 38,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687 : 29,656.50 = 29,656.50 : x
  2. Step 2: Convert to fraction form
    22,687/29,656.50 = 29,656.50/x
  3. Step 3: Cross multiply
    22,687x = 29,656.50 × 29,656.50
  4. Step 4: Simplify right side
    22,687x = 879,507,992.25
  5. Step 5: Solve for x
    x = 879,507,992.25/22,687
  6. Step 6: Final answer
    x = 38,767.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.