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Finding the Third Proportional to 22,689 and 32,125.50

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Solution

The third proportional to 22,689 and 32,125.50 is: 45,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689 : 32,125.50 = 32,125.50 : x
  2. Step 2: Convert to fraction form
    22,689/32,125.50 = 32,125.50/x
  3. Step 3: Cross multiply
    22,689x = 32,125.50 × 32,125.50
  4. Step 4: Simplify right side
    22,689x = 1,032,047,750.25
  5. Step 5: Solve for x
    x = 1,032,047,750.25/22,689
  6. Step 6: Final answer
    x = 45,486.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.