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Finding the Third Proportional to 29,602 and 43,953

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Solution

The third proportional to 29,602 and 43,953 is: 65,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602 : 43,953 = 43,953 : x
  2. Step 2: Convert to fraction form
    29,602/43,953 = 43,953/x
  3. Step 3: Cross multiply
    29,602x = 43,953 × 43,953
  4. Step 4: Simplify right side
    29,602x = 1,931,866,209
  5. Step 5: Solve for x
    x = 1,931,866,209/29,602
  6. Step 6: Final answer
    x = 65,261.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.