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Finding the Third Proportional to 32,286 and 47,370

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Solution

The third proportional to 32,286 and 47,370 is: 69,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 47,370 = 47,370 : x
  2. Step 2: Convert to fraction form
    32,286/47,370 = 47,370/x
  3. Step 3: Cross multiply
    32,286x = 47,370 × 47,370
  4. Step 4: Simplify right side
    32,286x = 2,243,916,900
  5. Step 5: Solve for x
    x = 2,243,916,900/32,286
  6. Step 6: Final answer
    x = 69,501.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.