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Finding the Third Proportional to 13,053 and 27,953

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Solution

The third proportional to 13,053 and 27,953 is: 59,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053 : 27,953 = 27,953 : x
  2. Step 2: Convert to fraction form
    13,053/27,953 = 27,953/x
  3. Step 3: Cross multiply
    13,053x = 27,953 × 27,953
  4. Step 4: Simplify right side
    13,053x = 781,370,209
  5. Step 5: Solve for x
    x = 781,370,209/13,053
  6. Step 6: Final answer
    x = 59,861.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.