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Finding the Third Proportional to 48,411 and 74,810.25

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Solution

The third proportional to 48,411 and 74,810.25 is: 115,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411 : 74,810.25 = 74,810.25 : x
  2. Step 2: Convert to fraction form
    48,411/74,810.25 = 74,810.25/x
  3. Step 3: Cross multiply
    48,411x = 74,810.25 × 74,810.25
  4. Step 4: Simplify right side
    48,411x = 5,596,573,505.06
  5. Step 5: Solve for x
    x = 5,596,573,505.06/48,411
  6. Step 6: Final answer
    x = 115,605.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.