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Finding the Third Proportional to 14,721 and 20,971.50

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Solution

The third proportional to 14,721 and 20,971.50 is: 29,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721 : 20,971.50 = 20,971.50 : x
  2. Step 2: Convert to fraction form
    14,721/20,971.50 = 20,971.50/x
  3. Step 3: Cross multiply
    14,721x = 20,971.50 × 20,971.50
  4. Step 4: Simplify right side
    14,721x = 439,803,812.25
  5. Step 5: Solve for x
    x = 439,803,812.25/14,721
  6. Step 6: Final answer
    x = 29,875.95

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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.