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Finding the Third Proportional to 21,783 and 32,037

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Solution

The third proportional to 21,783 and 32,037 is: 47,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783 : 32,037 = 32,037 : x
  2. Step 2: Convert to fraction form
    21,783/32,037 = 32,037/x
  3. Step 3: Cross multiply
    21,783x = 32,037 × 32,037
  4. Step 4: Simplify right side
    21,783x = 1,026,369,369
  5. Step 5: Solve for x
    x = 1,026,369,369/21,783
  6. Step 6: Final answer
    x = 47,117.91

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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.