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Finding the Third Proportional to 45,239.63 and 66,542.63

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Solution

The third proportional to 45,239.63 and 66,542.63 is: 97,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,239.63 : 66,542.63 = 66,542.63 : x
  2. Step 2: Convert to fraction form
    45,239.63/66,542.63 = 66,542.63/x
  3. Step 3: Cross multiply
    45,239.63x = 66,542.63 × 66,542.63
  4. Step 4: Simplify right side
    45,239.63x = 4,427,920,941.89
  5. Step 5: Solve for x
    x = 4,427,920,941.89/45,239.63
  6. Step 6: Final answer
    x = 97,877.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.