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Finding the Third Proportional to 29,536 and 63,708

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Solution

The third proportional to 29,536 and 63,708 is: 137,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536 : 63,708 = 63,708 : x
  2. Step 2: Convert to fraction form
    29,536/63,708 = 63,708/x
  3. Step 3: Cross multiply
    29,536x = 63,708 × 63,708
  4. Step 4: Simplify right side
    29,536x = 4,058,709,264
  5. Step 5: Solve for x
    x = 4,058,709,264/29,536
  6. Step 6: Final answer
    x = 137,415.67

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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.