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Finding the Third Proportional to 29,133 and 62,420.63

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Solution

The third proportional to 29,133 and 62,420.63 is: 133,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,133 : 62,420.63 = 62,420.63 : x
  2. Step 2: Convert to fraction form
    29,133/62,420.63 = 62,420.63/x
  3. Step 3: Cross multiply
    29,133x = 62,420.63 × 62,420.63
  4. Step 4: Simplify right side
    29,133x = 3,896,334,425.39
  5. Step 5: Solve for x
    x = 3,896,334,425.39/29,133
  6. Step 6: Final answer
    x = 133,742.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.