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Finding the Third Proportional to 32,960 and 70,294

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Solution

The third proportional to 32,960 and 70,294 is: 149,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960 : 70,294 = 70,294 : x
  2. Step 2: Convert to fraction form
    32,960/70,294 = 70,294/x
  3. Step 3: Cross multiply
    32,960x = 70,294 × 70,294
  4. Step 4: Simplify right side
    32,960x = 4,941,246,436
  5. Step 5: Solve for x
    x = 4,941,246,436/32,960
  6. Step 6: Final answer
    x = 149,916.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.