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Finding the Third Proportional to 10,594 and 22,784

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Solution

The third proportional to 10,594 and 22,784 is: 49,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594 : 22,784 = 22,784 : x
  2. Step 2: Convert to fraction form
    10,594/22,784 = 22,784/x
  3. Step 3: Cross multiply
    10,594x = 22,784 × 22,784
  4. Step 4: Simplify right side
    10,594x = 519,110,656
  5. Step 5: Solve for x
    x = 519,110,656/10,594
  6. Step 6: Final answer
    x = 49,000.44

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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.