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Finding the Third Proportional to 29,214 and 45,762.19

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Solution

The third proportional to 29,214 and 45,762.19 is: 71,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 45,762.19 = 45,762.19 : x
  2. Step 2: Convert to fraction form
    29,214/45,762.19 = 45,762.19/x
  3. Step 3: Cross multiply
    29,214x = 45,762.19 × 45,762.19
  4. Step 4: Simplify right side
    29,214x = 2,094,177,804.79
  5. Step 5: Solve for x
    x = 2,094,177,804.79/29,214
  6. Step 6: Final answer
    x = 71,684.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.