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Finding the Third Proportional to 29,281.50 and 65,117.25

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Solution

The third proportional to 29,281.50 and 65,117.25 is: 144,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.50 : 65,117.25 = 65,117.25 : x
  2. Step 2: Convert to fraction form
    29,281.50/65,117.25 = 65,117.25/x
  3. Step 3: Cross multiply
    29,281.50x = 65,117.25 × 65,117.25
  4. Step 4: Simplify right side
    29,281.50x = 4,240,256,247.56
  5. Step 5: Solve for x
    x = 4,240,256,247.56/29,281.50
  6. Step 6: Final answer
    x = 144,810.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.