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Finding the Third Proportional to 29,700 and 62,280

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Solution

The third proportional to 29,700 and 62,280 is: 130,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 62,280 = 62,280 : x
  2. Step 2: Convert to fraction form
    29,700/62,280 = 62,280/x
  3. Step 3: Cross multiply
    29,700x = 62,280 × 62,280
  4. Step 4: Simplify right side
    29,700x = 3,878,798,400
  5. Step 5: Solve for x
    x = 3,878,798,400/29,700
  6. Step 6: Final answer
    x = 130,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.