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Finding the Third Proportional to 21,026 and 45,316

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Solution

The third proportional to 21,026 and 45,316 is: 97,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026 : 45,316 = 45,316 : x
  2. Step 2: Convert to fraction form
    21,026/45,316 = 45,316/x
  3. Step 3: Cross multiply
    21,026x = 45,316 × 45,316
  4. Step 4: Simplify right side
    21,026x = 2,053,539,856
  5. Step 5: Solve for x
    x = 2,053,539,856/21,026
  6. Step 6: Final answer
    x = 97,666.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.