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Finding the Third Proportional to 35,219.81 and 53,133.47

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Solution

The third proportional to 35,219.81 and 53,133.47 is: 80,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.81 : 53,133.47 = 53,133.47 : x
  2. Step 2: Convert to fraction form
    35,219.81/53,133.47 = 53,133.47/x
  3. Step 3: Cross multiply
    35,219.81x = 53,133.47 × 53,133.47
  4. Step 4: Simplify right side
    35,219.81x = 2,823,165,501.41
  5. Step 5: Solve for x
    x = 2,823,165,501.41/35,219.81
  6. Step 6: Final answer
    x = 80,158.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.