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Finding the Third Proportional to 21,316 and 45,716

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Solution

The third proportional to 21,316 and 45,716 is: 98,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316 : 45,716 = 45,716 : x
  2. Step 2: Convert to fraction form
    21,316/45,716 = 45,716/x
  3. Step 3: Cross multiply
    21,316x = 45,716 × 45,716
  4. Step 4: Simplify right side
    21,316x = 2,089,952,656
  5. Step 5: Solve for x
    x = 2,089,952,656/21,316
  6. Step 6: Final answer
    x = 98,046.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.