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Finding the Third Proportional to 29,326 and 45,437

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Solution

The third proportional to 29,326 and 45,437 is: 70,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,326 : 45,437 = 45,437 : x
  2. Step 2: Convert to fraction form
    29,326/45,437 = 45,437/x
  3. Step 3: Cross multiply
    29,326x = 45,437 × 45,437
  4. Step 4: Simplify right side
    29,326x = 2,064,520,969
  5. Step 5: Solve for x
    x = 2,064,520,969/29,326
  6. Step 6: Final answer
    x = 70,399.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.