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Finding the Third Proportional to 4,787 and 10,465

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Solution

The third proportional to 4,787 and 10,465 is: 22,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787 : 10,465 = 10,465 : x
  2. Step 2: Convert to fraction form
    4,787/10,465 = 10,465/x
  3. Step 3: Cross multiply
    4,787x = 10,465 × 10,465
  4. Step 4: Simplify right side
    4,787x = 109,516,225
  5. Step 5: Solve for x
    x = 109,516,225/4,787
  6. Step 6: Final answer
    x = 22,877.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.