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Finding the Third Proportional to 29,242 and 57,005.50

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Solution

The third proportional to 29,242 and 57,005.50 is: 111,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242 : 57,005.50 = 57,005.50 : x
  2. Step 2: Convert to fraction form
    29,242/57,005.50 = 57,005.50/x
  3. Step 3: Cross multiply
    29,242x = 57,005.50 × 57,005.50
  4. Step 4: Simplify right side
    29,242x = 3,249,627,030.25
  5. Step 5: Solve for x
    x = 3,249,627,030.25/29,242
  6. Step 6: Final answer
    x = 111,128.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.