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Finding the Third Proportional to 52,374 and 74,050.50

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Solution

The third proportional to 52,374 and 74,050.50 is: 104,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374 : 74,050.50 = 74,050.50 : x
  2. Step 2: Convert to fraction form
    52,374/74,050.50 = 74,050.50/x
  3. Step 3: Cross multiply
    52,374x = 74,050.50 × 74,050.50
  4. Step 4: Simplify right side
    52,374x = 5,483,476,550.25
  5. Step 5: Solve for x
    x = 5,483,476,550.25/52,374
  6. Step 6: Final answer
    x = 104,698.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.