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Finding the Third Proportional to 42,447 and 64,642.50

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Solution

The third proportional to 42,447 and 64,642.50 is: 98,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447 : 64,642.50 = 64,642.50 : x
  2. Step 2: Convert to fraction form
    42,447/64,642.50 = 64,642.50/x
  3. Step 3: Cross multiply
    42,447x = 64,642.50 × 64,642.50
  4. Step 4: Simplify right side
    42,447x = 4,178,652,806.25
  5. Step 5: Solve for x
    x = 4,178,652,806.25/42,447
  6. Step 6: Final answer
    x = 98,444.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.