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Finding the Third Proportional to 29,655 and 64,534.50

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Solution

The third proportional to 29,655 and 64,534.50 is: 140,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,655 : 64,534.50 = 64,534.50 : x
  2. Step 2: Convert to fraction form
    29,655/64,534.50 = 64,534.50/x
  3. Step 3: Cross multiply
    29,655x = 64,534.50 × 64,534.50
  4. Step 4: Simplify right side
    29,655x = 4,164,701,690.25
  5. Step 5: Solve for x
    x = 4,164,701,690.25/29,655
  6. Step 6: Final answer
    x = 140,438.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.