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Finding the Third Proportional to 35,880.47 and 51,360.33

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Solution

The third proportional to 35,880.47 and 51,360.33 is: 73,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.47 : 51,360.33 = 51,360.33 : x
  2. Step 2: Convert to fraction form
    35,880.47/51,360.33 = 51,360.33/x
  3. Step 3: Cross multiply
    35,880.47x = 51,360.33 × 51,360.33
  4. Step 4: Simplify right side
    35,880.47x = 2,637,883,305.11
  5. Step 5: Solve for x
    x = 2,637,883,305.11/35,880.47
  6. Step 6: Final answer
    x = 73,518.64

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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.