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Finding the Third Proportional to 21,460 and 46,613

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Solution

The third proportional to 21,460 and 46,613 is: 101,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460 : 46,613 = 46,613 : x
  2. Step 2: Convert to fraction form
    21,460/46,613 = 46,613/x
  3. Step 3: Cross multiply
    21,460x = 46,613 × 46,613
  4. Step 4: Simplify right side
    21,460x = 2,172,771,769
  5. Step 5: Solve for x
    x = 2,172,771,769/21,460
  6. Step 6: Final answer
    x = 101,247.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.