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Finding the Third Proportional to 34,604 and 45,437

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Solution

The third proportional to 34,604 and 45,437 is: 59,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604 : 45,437 = 45,437 : x
  2. Step 2: Convert to fraction form
    34,604/45,437 = 45,437/x
  3. Step 3: Cross multiply
    34,604x = 45,437 × 45,437
  4. Step 4: Simplify right side
    34,604x = 2,064,520,969
  5. Step 5: Solve for x
    x = 2,064,520,969/34,604
  6. Step 6: Final answer
    x = 59,661.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.