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Finding the Third Proportional to 21,472 and 34,160

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Solution

The third proportional to 21,472 and 34,160 is: 54,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 34,160 = 34,160 : x
  2. Step 2: Convert to fraction form
    21,472/34,160 = 34,160/x
  3. Step 3: Cross multiply
    21,472x = 34,160 × 34,160
  4. Step 4: Simplify right side
    21,472x = 1,166,905,600
  5. Step 5: Solve for x
    x = 1,166,905,600/21,472
  6. Step 6: Final answer
    x = 54,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.