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Finding the Third Proportional to 53,464.50 and 74,746.25

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Solution

The third proportional to 53,464.50 and 74,746.25 is: 104,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.50 : 74,746.25 = 74,746.25 : x
  2. Step 2: Convert to fraction form
    53,464.50/74,746.25 = 74,746.25/x
  3. Step 3: Cross multiply
    53,464.50x = 74,746.25 × 74,746.25
  4. Step 4: Simplify right side
    53,464.50x = 5,587,001,889.06
  5. Step 5: Solve for x
    x = 5,587,001,889.06/53,464.50
  6. Step 6: Final answer
    x = 104,499.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.