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Finding the Third Proportional to 10,700 and 17,650

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Solution

The third proportional to 10,700 and 17,650 is: 29,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700 : 17,650 = 17,650 : x
  2. Step 2: Convert to fraction form
    10,700/17,650 = 17,650/x
  3. Step 3: Cross multiply
    10,700x = 17,650 × 17,650
  4. Step 4: Simplify right side
    10,700x = 311,522,500
  5. Step 5: Solve for x
    x = 311,522,500/10,700
  6. Step 6: Final answer
    x = 29,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.