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Finding the Third Proportional to 45,513 and 66,537.50

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Solution

The third proportional to 45,513 and 66,537.50 is: 97,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,513 : 66,537.50 = 66,537.50 : x
  2. Step 2: Convert to fraction form
    45,513/66,537.50 = 66,537.50/x
  3. Step 3: Cross multiply
    45,513x = 66,537.50 × 66,537.50
  4. Step 4: Simplify right side
    45,513x = 4,427,238,906.25
  5. Step 5: Solve for x
    x = 4,427,238,906.25/45,513
  6. Step 6: Final answer
    x = 97,274.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.