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Finding the Third Proportional to 24,259.50 and 53,030.25

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Solution

The third proportional to 24,259.50 and 53,030.25 is: 115,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.50 : 53,030.25 = 53,030.25 : x
  2. Step 2: Convert to fraction form
    24,259.50/53,030.25 = 53,030.25/x
  3. Step 3: Cross multiply
    24,259.50x = 53,030.25 × 53,030.25
  4. Step 4: Simplify right side
    24,259.50x = 2,812,207,415.06
  5. Step 5: Solve for x
    x = 2,812,207,415.06/24,259.50
  6. Step 6: Final answer
    x = 115,921.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.