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Finding the Third Proportional to 22,547 and 48,222

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Solution

The third proportional to 22,547 and 48,222 is: 103,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547 : 48,222 = 48,222 : x
  2. Step 2: Convert to fraction form
    22,547/48,222 = 48,222/x
  3. Step 3: Cross multiply
    22,547x = 48,222 × 48,222
  4. Step 4: Simplify right side
    22,547x = 2,325,361,284
  5. Step 5: Solve for x
    x = 2,325,361,284/22,547
  6. Step 6: Final answer
    x = 103,133.96

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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.