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Finding the Third Proportional to 30,549.66 and 46,132.03

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Solution

The third proportional to 30,549.66 and 46,132.03 is: 69,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.66 : 46,132.03 = 46,132.03 : x
  2. Step 2: Convert to fraction form
    30,549.66/46,132.03 = 46,132.03/x
  3. Step 3: Cross multiply
    30,549.66x = 46,132.03 × 46,132.03
  4. Step 4: Simplify right side
    30,549.66x = 2,128,164,307.25
  5. Step 5: Solve for x
    x = 2,128,164,307.25/30,549.66
  6. Step 6: Final answer
    x = 69,662.46

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Why These Related Problems?

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