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Finding the Third Proportional to 46,412 and 74,730

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Solution

The third proportional to 46,412 and 74,730 is: 120,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412 : 74,730 = 74,730 : x
  2. Step 2: Convert to fraction form
    46,412/74,730 = 74,730/x
  3. Step 3: Cross multiply
    46,412x = 74,730 × 74,730
  4. Step 4: Simplify right side
    46,412x = 5,584,572,900
  5. Step 5: Solve for x
    x = 5,584,572,900/46,412
  6. Step 6: Final answer
    x = 120,326.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.