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Finding the Third Proportional to 20,060 and 42,316

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Solution

The third proportional to 20,060 and 42,316 is: 89,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,060 : 42,316 = 42,316 : x
  2. Step 2: Convert to fraction form
    20,060/42,316 = 42,316/x
  3. Step 3: Cross multiply
    20,060x = 42,316 × 42,316
  4. Step 4: Simplify right side
    20,060x = 1,790,643,856
  5. Step 5: Solve for x
    x = 1,790,643,856/20,060
  6. Step 6: Final answer
    x = 89,264.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.