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Finding the Third Proportional to 30,260.25 and 46,038.38

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Solution

The third proportional to 30,260.25 and 46,038.38 is: 70,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260.25 : 46,038.38 = 46,038.38 : x
  2. Step 2: Convert to fraction form
    30,260.25/46,038.38 = 46,038.38/x
  3. Step 3: Cross multiply
    30,260.25x = 46,038.38 × 46,038.38
  4. Step 4: Simplify right side
    30,260.25x = 2,119,531,972.64
  5. Step 5: Solve for x
    x = 2,119,531,972.64/30,260.25
  6. Step 6: Final answer
    x = 70,043.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.