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Finding the Third Proportional to 22,547 and 48,221

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Solution

The third proportional to 22,547 and 48,221 is: 103,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547 : 48,221 = 48,221 : x
  2. Step 2: Convert to fraction form
    22,547/48,221 = 48,221/x
  3. Step 3: Cross multiply
    22,547x = 48,221 × 48,221
  4. Step 4: Simplify right side
    22,547x = 2,325,264,841
  5. Step 5: Solve for x
    x = 2,325,264,841/22,547
  6. Step 6: Final answer
    x = 103,129.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.