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Finding the Third Proportional to 29,666 and 64,806

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Solution

The third proportional to 29,666 and 64,806 is: 141,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666 : 64,806 = 64,806 : x
  2. Step 2: Convert to fraction form
    29,666/64,806 = 64,806/x
  3. Step 3: Cross multiply
    29,666x = 64,806 × 64,806
  4. Step 4: Simplify right side
    29,666x = 4,199,817,636
  5. Step 5: Solve for x
    x = 4,199,817,636/29,666
  6. Step 6: Final answer
    x = 141,570.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.