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Finding the Third Proportional to 13,973 and 29,323

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Solution

The third proportional to 13,973 and 29,323 is: 61,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973 : 29,323 = 29,323 : x
  2. Step 2: Convert to fraction form
    13,973/29,323 = 29,323/x
  3. Step 3: Cross multiply
    13,973x = 29,323 × 29,323
  4. Step 4: Simplify right side
    13,973x = 859,838,329
  5. Step 5: Solve for x
    x = 859,838,329/13,973
  6. Step 6: Final answer
    x = 61,535.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.