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Finding the Third Proportional to 30,258 and 49,533.75

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Solution

The third proportional to 30,258 and 49,533.75 is: 81,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 49,533.75 = 49,533.75 : x
  2. Step 2: Convert to fraction form
    30,258/49,533.75 = 49,533.75/x
  3. Step 3: Cross multiply
    30,258x = 49,533.75 × 49,533.75
  4. Step 4: Simplify right side
    30,258x = 2,453,592,389.06
  5. Step 5: Solve for x
    x = 2,453,592,389.06/30,258
  6. Step 6: Final answer
    x = 81,089.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.