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Finding the Third Proportional to 40,316 and 62,583

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Solution

The third proportional to 40,316 and 62,583 is: 97,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 62,583 = 62,583 : x
  2. Step 2: Convert to fraction form
    40,316/62,583 = 62,583/x
  3. Step 3: Cross multiply
    40,316x = 62,583 × 62,583
  4. Step 4: Simplify right side
    40,316x = 3,916,631,889
  5. Step 5: Solve for x
    x = 3,916,631,889/40,316
  6. Step 6: Final answer
    x = 97,148.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.