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Finding the Third Proportional to 42,943.50 and 64,886.06

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Solution

The third proportional to 42,943.50 and 64,886.06 is: 98,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,943.50 : 64,886.06 = 64,886.06 : x
  2. Step 2: Convert to fraction form
    42,943.50/64,886.06 = 64,886.06/x
  3. Step 3: Cross multiply
    42,943.50x = 64,886.06 × 64,886.06
  4. Step 4: Simplify right side
    42,943.50x = 4,210,201,106.75
  5. Step 5: Solve for x
    x = 4,210,201,106.75/42,943.50
  6. Step 6: Final answer
    x = 98,040.47

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