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Finding the Third Proportional to 35,574 and 47,603.25

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Solution

The third proportional to 35,574 and 47,603.25 is: 63,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574 : 47,603.25 = 47,603.25 : x
  2. Step 2: Convert to fraction form
    35,574/47,603.25 = 47,603.25/x
  3. Step 3: Cross multiply
    35,574x = 47,603.25 × 47,603.25
  4. Step 4: Simplify right side
    35,574x = 2,266,069,410.56
  5. Step 5: Solve for x
    x = 2,266,069,410.56/35,574
  6. Step 6: Final answer
    x = 63,700.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.