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Finding the Third Proportional to 29,709 and 64,541

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Solution

The third proportional to 29,709 and 64,541 is: 140,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709 : 64,541 = 64,541 : x
  2. Step 2: Convert to fraction form
    29,709/64,541 = 64,541/x
  3. Step 3: Cross multiply
    29,709x = 64,541 × 64,541
  4. Step 4: Simplify right side
    29,709x = 4,165,540,681
  5. Step 5: Solve for x
    x = 4,165,540,681/29,709
  6. Step 6: Final answer
    x = 140,211.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.