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Finding the Third Proportional to 30,724 and 48,854

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Solution

The third proportional to 30,724 and 48,854 is: 77,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 48,854 = 48,854 : x
  2. Step 2: Convert to fraction form
    30,724/48,854 = 48,854/x
  3. Step 3: Cross multiply
    30,724x = 48,854 × 48,854
  4. Step 4: Simplify right side
    30,724x = 2,386,713,316
  5. Step 5: Solve for x
    x = 2,386,713,316/30,724
  6. Step 6: Final answer
    x = 77,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.