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Finding the Third Proportional to 19,700 and 29,564

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Solution

The third proportional to 19,700 and 29,564 is: 44,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 29,564 = 29,564 : x
  2. Step 2: Convert to fraction form
    19,700/29,564 = 29,564/x
  3. Step 3: Cross multiply
    19,700x = 29,564 × 29,564
  4. Step 4: Simplify right side
    19,700x = 874,030,096
  5. Step 5: Solve for x
    x = 874,030,096/19,700
  6. Step 6: Final answer
    x = 44,367.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.