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Finding the Third Proportional to 43,866.25 and 65,507

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Solution

The third proportional to 43,866.25 and 65,507 is: 97,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,866.25 : 65,507 = 65,507 : x
  2. Step 2: Convert to fraction form
    43,866.25/65,507 = 65,507/x
  3. Step 3: Cross multiply
    43,866.25x = 65,507 × 65,507
  4. Step 4: Simplify right side
    43,866.25x = 4,291,167,049
  5. Step 5: Solve for x
    x = 4,291,167,049/43,866.25
  6. Step 6: Final answer
    x = 97,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.