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Finding the Third Proportional to 30,403 and 42,784

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Solution

The third proportional to 30,403 and 42,784 is: 60,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403 : 42,784 = 42,784 : x
  2. Step 2: Convert to fraction form
    30,403/42,784 = 42,784/x
  3. Step 3: Cross multiply
    30,403x = 42,784 × 42,784
  4. Step 4: Simplify right side
    30,403x = 1,830,470,656
  5. Step 5: Solve for x
    x = 1,830,470,656/30,403
  6. Step 6: Final answer
    x = 60,206.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.