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Finding the Third Proportional to 14,680 and 22,556

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Solution

The third proportional to 14,680 and 22,556 is: 34,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680 : 22,556 = 22,556 : x
  2. Step 2: Convert to fraction form
    14,680/22,556 = 22,556/x
  3. Step 3: Cross multiply
    14,680x = 22,556 × 22,556
  4. Step 4: Simplify right side
    14,680x = 508,773,136
  5. Step 5: Solve for x
    x = 508,773,136/14,680
  6. Step 6: Final answer
    x = 34,657.57

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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.