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Finding the Third Proportional to 29,576 and 63,841

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Solution

The third proportional to 29,576 and 63,841 is: 137,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576 : 63,841 = 63,841 : x
  2. Step 2: Convert to fraction form
    29,576/63,841 = 63,841/x
  3. Step 3: Cross multiply
    29,576x = 63,841 × 63,841
  4. Step 4: Simplify right side
    29,576x = 4,075,673,281
  5. Step 5: Solve for x
    x = 4,075,673,281/29,576
  6. Step 6: Final answer
    x = 137,803.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.