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Finding the Third Proportional to 46,408 and 74,724

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Solution

The third proportional to 46,408 and 74,724 is: 120,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408 : 74,724 = 74,724 : x
  2. Step 2: Convert to fraction form
    46,408/74,724 = 74,724/x
  3. Step 3: Cross multiply
    46,408x = 74,724 × 74,724
  4. Step 4: Simplify right side
    46,408x = 5,583,676,176
  5. Step 5: Solve for x
    x = 5,583,676,176/46,408
  6. Step 6: Final answer
    x = 120,317.10

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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.