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Finding the Third Proportional to 22,635 and 30,412.50

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Solution

The third proportional to 22,635 and 30,412.50 is: 40,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635 : 30,412.50 = 30,412.50 : x
  2. Step 2: Convert to fraction form
    22,635/30,412.50 = 30,412.50/x
  3. Step 3: Cross multiply
    22,635x = 30,412.50 × 30,412.50
  4. Step 4: Simplify right side
    22,635x = 924,920,156.25
  5. Step 5: Solve for x
    x = 924,920,156.25/22,635
  6. Step 6: Final answer
    x = 40,862.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.