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Finding the Third Proportional to 29,669.63 and 70,038

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Solution

The third proportional to 29,669.63 and 70,038 is: 165,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.63 : 70,038 = 70,038 : x
  2. Step 2: Convert to fraction form
    29,669.63/70,038 = 70,038/x
  3. Step 3: Cross multiply
    29,669.63x = 70,038 × 70,038
  4. Step 4: Simplify right side
    29,669.63x = 4,905,321,444
  5. Step 5: Solve for x
    x = 4,905,321,444/29,669.63
  6. Step 6: Final answer
    x = 165,331.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.