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Finding the Third Proportional to 30,358.75 and 45,962.25

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Solution

The third proportional to 30,358.75 and 45,962.25 is: 69,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358.75 : 45,962.25 = 45,962.25 : x
  2. Step 2: Convert to fraction form
    30,358.75/45,962.25 = 45,962.25/x
  3. Step 3: Cross multiply
    30,358.75x = 45,962.25 × 45,962.25
  4. Step 4: Simplify right side
    30,358.75x = 2,112,528,425.06
  5. Step 5: Solve for x
    x = 2,112,528,425.06/30,358.75
  6. Step 6: Final answer
    x = 69,585.49

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