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Finding the Third Proportional to 29,767.50 and 65,534.06

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Solution

The third proportional to 29,767.50 and 65,534.06 is: 144,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.50 : 65,534.06 = 65,534.06 : x
  2. Step 2: Convert to fraction form
    29,767.50/65,534.06 = 65,534.06/x
  3. Step 3: Cross multiply
    29,767.50x = 65,534.06 × 65,534.06
  4. Step 4: Simplify right side
    29,767.50x = 4,294,713,347.75
  5. Step 5: Solve for x
    x = 4,294,713,347.75/29,767.50
  6. Step 6: Final answer
    x = 144,275.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.