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Finding the Third Proportional to 14,564 and 32,071

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Solution

The third proportional to 14,564 and 32,071 is: 70,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 32,071 = 32,071 : x
  2. Step 2: Convert to fraction form
    14,564/32,071 = 32,071/x
  3. Step 3: Cross multiply
    14,564x = 32,071 × 32,071
  4. Step 4: Simplify right side
    14,564x = 1,028,549,041
  5. Step 5: Solve for x
    x = 1,028,549,041/14,564
  6. Step 6: Final answer
    x = 70,622.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.