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Finding the Third Proportional to 40,140 and 62,507.81

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Solution

The third proportional to 40,140 and 62,507.81 is: 97,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,140 : 62,507.81 = 62,507.81 : x
  2. Step 2: Convert to fraction form
    40,140/62,507.81 = 62,507.81/x
  3. Step 3: Cross multiply
    40,140x = 62,507.81 × 62,507.81
  4. Step 4: Simplify right side
    40,140x = 3,907,226,623.54
  5. Step 5: Solve for x
    x = 3,907,226,623.54/40,140
  6. Step 6: Final answer
    x = 97,339.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.