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Finding the Third Proportional to 29,229 and 63,128.63

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Solution

The third proportional to 29,229 and 63,128.63 is: 136,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,229 : 63,128.63 = 63,128.63 : x
  2. Step 2: Convert to fraction form
    29,229/63,128.63 = 63,128.63/x
  3. Step 3: Cross multiply
    29,229x = 63,128.63 × 63,128.63
  4. Step 4: Simplify right side
    29,229x = 3,985,223,294.39
  5. Step 5: Solve for x
    x = 3,985,223,294.39/29,229
  6. Step 6: Final answer
    x = 136,344.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.