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Finding the Third Proportional to 26,316 and 40,773

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Solution

The third proportional to 26,316 and 40,773 is: 63,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,316 : 40,773 = 40,773 : x
  2. Step 2: Convert to fraction form
    26,316/40,773 = 40,773/x
  3. Step 3: Cross multiply
    26,316x = 40,773 × 40,773
  4. Step 4: Simplify right side
    26,316x = 1,662,437,529
  5. Step 5: Solve for x
    x = 1,662,437,529/26,316
  6. Step 6: Final answer
    x = 63,172.12

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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.