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Finding the Third Proportional to 29,523 and 46,948.50

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Solution

The third proportional to 29,523 and 46,948.50 is: 74,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523 : 46,948.50 = 46,948.50 : x
  2. Step 2: Convert to fraction form
    29,523/46,948.50 = 46,948.50/x
  3. Step 3: Cross multiply
    29,523x = 46,948.50 × 46,948.50
  4. Step 4: Simplify right side
    29,523x = 2,204,161,652.25
  5. Step 5: Solve for x
    x = 2,204,161,652.25/29,523
  6. Step 6: Final answer
    x = 74,659.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.