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Finding the Third Proportional to 46,699 and 71,445

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Solution

The third proportional to 46,699 and 71,445 is: 109,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699 : 71,445 = 71,445 : x
  2. Step 2: Convert to fraction form
    46,699/71,445 = 71,445/x
  3. Step 3: Cross multiply
    46,699x = 71,445 × 71,445
  4. Step 4: Simplify right side
    46,699x = 5,104,388,025
  5. Step 5: Solve for x
    x = 5,104,388,025/46,699
  6. Step 6: Final answer
    x = 109,304.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.