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Finding the Third Proportional to 29,562 and 64,873

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Solution

The third proportional to 29,562 and 64,873 is: 142,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,562 : 64,873 = 64,873 : x
  2. Step 2: Convert to fraction form
    29,562/64,873 = 64,873/x
  3. Step 3: Cross multiply
    29,562x = 64,873 × 64,873
  4. Step 4: Simplify right side
    29,562x = 4,208,506,129
  5. Step 5: Solve for x
    x = 4,208,506,129/29,562
  6. Step 6: Final answer
    x = 142,362.02

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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.