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Finding the Third Proportional to 58,185 and 74,047.50

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Solution

The third proportional to 58,185 and 74,047.50 is: 94,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,185 : 74,047.50 = 74,047.50 : x
  2. Step 2: Convert to fraction form
    58,185/74,047.50 = 74,047.50/x
  3. Step 3: Cross multiply
    58,185x = 74,047.50 × 74,047.50
  4. Step 4: Simplify right side
    58,185x = 5,483,032,256.25
  5. Step 5: Solve for x
    x = 5,483,032,256.25/58,185
  6. Step 6: Final answer
    x = 94,234.46

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.