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Finding the Third Proportional to 13,710 and 21,146

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Solution

The third proportional to 13,710 and 21,146 is: 32,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 21,146 = 21,146 : x
  2. Step 2: Convert to fraction form
    13,710/21,146 = 21,146/x
  3. Step 3: Cross multiply
    13,710x = 21,146 × 21,146
  4. Step 4: Simplify right side
    13,710x = 447,153,316
  5. Step 5: Solve for x
    x = 447,153,316/13,710
  6. Step 6: Final answer
    x = 32,615.12

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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.