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Finding the Third Proportional to 22,310 and 48,076

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Solution

The third proportional to 22,310 and 48,076 is: 103,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310 : 48,076 = 48,076 : x
  2. Step 2: Convert to fraction form
    22,310/48,076 = 48,076/x
  3. Step 3: Cross multiply
    22,310x = 48,076 × 48,076
  4. Step 4: Simplify right side
    22,310x = 2,311,301,776
  5. Step 5: Solve for x
    x = 2,311,301,776/22,310
  6. Step 6: Final answer
    x = 103,599.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.