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Finding the Third Proportional to 40,473 and 62,829

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Solution

The third proportional to 40,473 and 62,829 is: 97,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473 : 62,829 = 62,829 : x
  2. Step 2: Convert to fraction form
    40,473/62,829 = 62,829/x
  3. Step 3: Cross multiply
    40,473x = 62,829 × 62,829
  4. Step 4: Simplify right side
    40,473x = 3,947,483,241
  5. Step 5: Solve for x
    x = 3,947,483,241/40,473
  6. Step 6: Final answer
    x = 97,533.74

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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.