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Finding the Third Proportional to 29,394 and 52,953

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Solution

The third proportional to 29,394 and 52,953 is: 95,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394 : 52,953 = 52,953 : x
  2. Step 2: Convert to fraction form
    29,394/52,953 = 52,953/x
  3. Step 3: Cross multiply
    29,394x = 52,953 × 52,953
  4. Step 4: Simplify right side
    29,394x = 2,804,020,209
  5. Step 5: Solve for x
    x = 2,804,020,209/29,394
  6. Step 6: Final answer
    x = 95,394.31

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.