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Finding the Third Proportional to 30,097.50 and 64,083

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Solution

The third proportional to 30,097.50 and 64,083 is: 136,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.50 : 64,083 = 64,083 : x
  2. Step 2: Convert to fraction form
    30,097.50/64,083 = 64,083/x
  3. Step 3: Cross multiply
    30,097.50x = 64,083 × 64,083
  4. Step 4: Simplify right side
    30,097.50x = 4,106,630,889
  5. Step 5: Solve for x
    x = 4,106,630,889/30,097.50
  6. Step 6: Final answer
    x = 136,444.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.