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Finding the Third Proportional to 22,484 and 32,389

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Solution

The third proportional to 22,484 and 32,389 is: 46,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484 : 32,389 = 32,389 : x
  2. Step 2: Convert to fraction form
    22,484/32,389 = 32,389/x
  3. Step 3: Cross multiply
    22,484x = 32,389 × 32,389
  4. Step 4: Simplify right side
    22,484x = 1,049,047,321
  5. Step 5: Solve for x
    x = 1,049,047,321/22,484
  6. Step 6: Final answer
    x = 46,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.