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Finding the Third Proportional to 8,570 and 13,037

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Solution

The third proportional to 8,570 and 13,037 is: 19,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 13,037 = 13,037 : x
  2. Step 2: Convert to fraction form
    8,570/13,037 = 13,037/x
  3. Step 3: Cross multiply
    8,570x = 13,037 × 13,037
  4. Step 4: Simplify right side
    8,570x = 169,963,369
  5. Step 5: Solve for x
    x = 169,963,369/8,570
  6. Step 6: Final answer
    x = 19,832.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.