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Finding the Third Proportional to 37,778.06 and 52,957.13

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Solution

The third proportional to 37,778.06 and 52,957.13 is: 74,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778.06 : 52,957.13 = 52,957.13 : x
  2. Step 2: Convert to fraction form
    37,778.06/52,957.13 = 52,957.13/x
  3. Step 3: Cross multiply
    37,778.06x = 52,957.13 × 52,957.13
  4. Step 4: Simplify right side
    37,778.06x = 2,804,457,088.27
  5. Step 5: Solve for x
    x = 2,804,457,088.27/37,778.06
  6. Step 6: Final answer
    x = 74,235.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.