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Finding the Third Proportional to 24,973.88 and 53,501.63

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Solution

The third proportional to 24,973.88 and 53,501.63 is: 114,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.88 : 53,501.63 = 53,501.63 : x
  2. Step 2: Convert to fraction form
    24,973.88/53,501.63 = 53,501.63/x
  3. Step 3: Cross multiply
    24,973.88x = 53,501.63 × 53,501.63
  4. Step 4: Simplify right side
    24,973.88x = 2,862,423,877.64
  5. Step 5: Solve for x
    x = 2,862,423,877.64/24,973.88
  6. Step 6: Final answer
    x = 114,616.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.