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Finding the Third Proportional to 22,878 and 48,528

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Solution

The third proportional to 22,878 and 48,528 is: 102,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878 : 48,528 = 48,528 : x
  2. Step 2: Convert to fraction form
    22,878/48,528 = 48,528/x
  3. Step 3: Cross multiply
    22,878x = 48,528 × 48,528
  4. Step 4: Simplify right side
    22,878x = 2,354,966,784
  5. Step 5: Solve for x
    x = 2,354,966,784/22,878
  6. Step 6: Final answer
    x = 102,935.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.