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Finding the Third Proportional to 46,405 and 69,486

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Solution

The third proportional to 46,405 and 69,486 is: 104,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,405 : 69,486 = 69,486 : x
  2. Step 2: Convert to fraction form
    46,405/69,486 = 69,486/x
  3. Step 3: Cross multiply
    46,405x = 69,486 × 69,486
  4. Step 4: Simplify right side
    46,405x = 4,828,304,196
  5. Step 5: Solve for x
    x = 4,828,304,196/46,405
  6. Step 6: Final answer
    x = 104,047.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.