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Finding the Third Proportional to 48,420 and 74,776

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Solution

The third proportional to 48,420 and 74,776 is: 115,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,420 : 74,776 = 74,776 : x
  2. Step 2: Convert to fraction form
    48,420/74,776 = 74,776/x
  3. Step 3: Cross multiply
    48,420x = 74,776 × 74,776
  4. Step 4: Simplify right side
    48,420x = 5,591,450,176
  5. Step 5: Solve for x
    x = 5,591,450,176/48,420
  6. Step 6: Final answer
    x = 115,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.