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Finding the Third Proportional to 21,259 and 46,559

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Solution

The third proportional to 21,259 and 46,559 is: 101,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259 : 46,559 = 46,559 : x
  2. Step 2: Convert to fraction form
    21,259/46,559 = 46,559/x
  3. Step 3: Cross multiply
    21,259x = 46,559 × 46,559
  4. Step 4: Simplify right side
    21,259x = 2,167,740,481
  5. Step 5: Solve for x
    x = 2,167,740,481/21,259
  6. Step 6: Final answer
    x = 101,968.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.