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Finding the Third Proportional to 42,795.53 and 66,784.06

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Solution

The third proportional to 42,795.53 and 66,784.06 is: 104,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795.53 : 66,784.06 = 66,784.06 : x
  2. Step 2: Convert to fraction form
    42,795.53/66,784.06 = 66,784.06/x
  3. Step 3: Cross multiply
    42,795.53x = 66,784.06 × 66,784.06
  4. Step 4: Simplify right side
    42,795.53x = 4,460,111,330.10
  5. Step 5: Solve for x
    x = 4,460,111,330.10/42,795.53
  6. Step 6: Final answer
    x = 104,219.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.