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Finding the Third Proportional to 35,230.50 and 77,248.13

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Solution

The third proportional to 35,230.50 and 77,248.13 is: 169,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230.50 : 77,248.13 = 77,248.13 : x
  2. Step 2: Convert to fraction form
    35,230.50/77,248.13 = 77,248.13/x
  3. Step 3: Cross multiply
    35,230.50x = 77,248.13 × 77,248.13
  4. Step 4: Simplify right side
    35,230.50x = 5,967,272,816.02
  5. Step 5: Solve for x
    x = 5,967,272,816.02/35,230.50
  6. Step 6: Final answer
    x = 169,378.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.