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Finding the Third Proportional to 14,706 and 22,473

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Solution

The third proportional to 14,706 and 22,473 is: 34,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 22,473 = 22,473 : x
  2. Step 2: Convert to fraction form
    14,706/22,473 = 22,473/x
  3. Step 3: Cross multiply
    14,706x = 22,473 × 22,473
  4. Step 4: Simplify right side
    14,706x = 505,035,729
  5. Step 5: Solve for x
    x = 505,035,729/14,706
  6. Step 6: Final answer
    x = 34,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.