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Finding the Third Proportional to 14,460 and 21,598

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Solution

The third proportional to 14,460 and 21,598 is: 32,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460 : 21,598 = 21,598 : x
  2. Step 2: Convert to fraction form
    14,460/21,598 = 21,598/x
  3. Step 3: Cross multiply
    14,460x = 21,598 × 21,598
  4. Step 4: Simplify right side
    14,460x = 466,473,604
  5. Step 5: Solve for x
    x = 466,473,604/14,460
  6. Step 6: Final answer
    x = 32,259.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.