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Finding the Third Proportional to 45,312.75 and 51,691.50

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Solution

The third proportional to 45,312.75 and 51,691.50 is: 58,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.75 : 51,691.50 = 51,691.50 : x
  2. Step 2: Convert to fraction form
    45,312.75/51,691.50 = 51,691.50/x
  3. Step 3: Cross multiply
    45,312.75x = 51,691.50 × 51,691.50
  4. Step 4: Simplify right side
    45,312.75x = 2,672,011,172.25
  5. Step 5: Solve for x
    x = 2,672,011,172.25/45,312.75
  6. Step 6: Final answer
    x = 58,968.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.