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Finding the Third Proportional to 51,985.13 and 74,341.13

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Solution

The third proportional to 51,985.13 and 74,341.13 is: 106,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.13 : 74,341.13 = 74,341.13 : x
  2. Step 2: Convert to fraction form
    51,985.13/74,341.13 = 74,341.13/x
  3. Step 3: Cross multiply
    51,985.13x = 74,341.13 × 74,341.13
  4. Step 4: Simplify right side
    51,985.13x = 5,526,602,866.27
  5. Step 5: Solve for x
    x = 5,526,602,866.27/51,985.13
  6. Step 6: Final answer
    x = 106,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.