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Finding the Third Proportional to 29,232 and 45,559

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Solution

The third proportional to 29,232 and 45,559 is: 71,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232 : 45,559 = 45,559 : x
  2. Step 2: Convert to fraction form
    29,232/45,559 = 45,559/x
  3. Step 3: Cross multiply
    29,232x = 45,559 × 45,559
  4. Step 4: Simplify right side
    29,232x = 2,075,622,481
  5. Step 5: Solve for x
    x = 2,075,622,481/29,232
  6. Step 6: Final answer
    x = 71,005.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.