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Finding the Third Proportional to 29,582 and 64,834

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Solution

The third proportional to 29,582 and 64,834 is: 142,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582 : 64,834 = 64,834 : x
  2. Step 2: Convert to fraction form
    29,582/64,834 = 64,834/x
  3. Step 3: Cross multiply
    29,582x = 64,834 × 64,834
  4. Step 4: Simplify right side
    29,582x = 4,203,447,556
  5. Step 5: Solve for x
    x = 4,203,447,556/29,582
  6. Step 6: Final answer
    x = 142,094.77

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