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Finding the Third Proportional to 42,036.47 and 64,286.16

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Solution

The third proportional to 42,036.47 and 64,286.16 is: 98,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,036.47 : 64,286.16 = 64,286.16 : x
  2. Step 2: Convert to fraction form
    42,036.47/64,286.16 = 64,286.16/x
  3. Step 3: Cross multiply
    42,036.47x = 64,286.16 × 64,286.16
  4. Step 4: Simplify right side
    42,036.47x = 4,132,709,885.40
  5. Step 5: Solve for x
    x = 4,132,709,885.40/42,036.47
  6. Step 6: Final answer
    x = 98,312.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.