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Finding the Third Proportional to 24,604.31 and 51,547.50

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Solution

The third proportional to 24,604.31 and 51,547.50 is: 107,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.31 : 51,547.50 = 51,547.50 : x
  2. Step 2: Convert to fraction form
    24,604.31/51,547.50 = 51,547.50/x
  3. Step 3: Cross multiply
    24,604.31x = 51,547.50 × 51,547.50
  4. Step 4: Simplify right side
    24,604.31x = 2,657,144,756.25
  5. Step 5: Solve for x
    x = 2,657,144,756.25/24,604.31
  6. Step 6: Final answer
    x = 107,995.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.