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Finding the Third Proportional to 42,273.56 and 65,547.56

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Solution

The third proportional to 42,273.56 and 65,547.56 is: 101,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,273.56 : 65,547.56 = 65,547.56 : x
  2. Step 2: Convert to fraction form
    42,273.56/65,547.56 = 65,547.56/x
  3. Step 3: Cross multiply
    42,273.56x = 65,547.56 × 65,547.56
  4. Step 4: Simplify right side
    42,273.56x = 4,296,482,949.69
  5. Step 5: Solve for x
    x = 4,296,482,949.69/42,273.56
  6. Step 6: Final answer
    x = 101,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.