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Finding the Third Proportional to 14,053 and 21,043

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Solution

The third proportional to 14,053 and 21,043 is: 31,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053 : 21,043 = 21,043 : x
  2. Step 2: Convert to fraction form
    14,053/21,043 = 21,043/x
  3. Step 3: Cross multiply
    14,053x = 21,043 × 21,043
  4. Step 4: Simplify right side
    14,053x = 442,807,849
  5. Step 5: Solve for x
    x = 442,807,849/14,053
  6. Step 6: Final answer
    x = 31,509.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.