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Finding the Third Proportional to 27,307.13 and 66,422.53

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Solution

The third proportional to 27,307.13 and 66,422.53 is: 161,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 66,422.53 = 66,422.53 : x
  2. Step 2: Convert to fraction form
    27,307.13/66,422.53 = 66,422.53/x
  3. Step 3: Cross multiply
    27,307.13x = 66,422.53 × 66,422.53
  4. Step 4: Simplify right side
    27,307.13x = 4,411,952,657.66
  5. Step 5: Solve for x
    x = 4,411,952,657.66/27,307.13
  6. Step 6: Final answer
    x = 161,567.82

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.