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Finding the Third Proportional to 30,411 and 48,429

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Solution

The third proportional to 30,411 and 48,429 is: 77,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411 : 48,429 = 48,429 : x
  2. Step 2: Convert to fraction form
    30,411/48,429 = 48,429/x
  3. Step 3: Cross multiply
    30,411x = 48,429 × 48,429
  4. Step 4: Simplify right side
    30,411x = 2,345,368,041
  5. Step 5: Solve for x
    x = 2,345,368,041/30,411
  6. Step 6: Final answer
    x = 77,122.36

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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.