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Finding the Third Proportional to 45,287.02 and 66,545.30

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Solution

The third proportional to 45,287.02 and 66,545.30 is: 97,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,287.02 : 66,545.30 = 66,545.30 : x
  2. Step 2: Convert to fraction form
    45,287.02/66,545.30 = 66,545.30/x
  3. Step 3: Cross multiply
    45,287.02x = 66,545.30 × 66,545.30
  4. Step 4: Simplify right side
    45,287.02x = 4,428,276,536.18
  5. Step 5: Solve for x
    x = 4,428,276,536.18/45,287.02
  6. Step 6: Final answer
    x = 97,782.48

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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.