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Finding the Third Proportional to 22,547 and 32,477

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Solution

The third proportional to 22,547 and 32,477 is: 46,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547 : 32,477 = 32,477 : x
  2. Step 2: Convert to fraction form
    22,547/32,477 = 32,477/x
  3. Step 3: Cross multiply
    22,547x = 32,477 × 32,477
  4. Step 4: Simplify right side
    22,547x = 1,054,755,529
  5. Step 5: Solve for x
    x = 1,054,755,529/22,547
  6. Step 6: Final answer
    x = 46,780.30

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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.