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Finding the Third Proportional to 42,952.50 and 64,899

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Solution

The third proportional to 42,952.50 and 64,899 is: 98,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952.50 : 64,899 = 64,899 : x
  2. Step 2: Convert to fraction form
    42,952.50/64,899 = 64,899/x
  3. Step 3: Cross multiply
    42,952.50x = 64,899 × 64,899
  4. Step 4: Simplify right side
    42,952.50x = 4,211,880,201
  5. Step 5: Solve for x
    x = 4,211,880,201/42,952.50
  6. Step 6: Final answer
    x = 98,059.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.