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Finding the Third Proportional to 4,505.47 and 9,888.01

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Solution

The third proportional to 4,505.47 and 9,888.01 is: 21,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.47 : 9,888.01 = 9,888.01 : x
  2. Step 2: Convert to fraction form
    4,505.47/9,888.01 = 9,888.01/x
  3. Step 3: Cross multiply
    4,505.47x = 9,888.01 × 9,888.01
  4. Step 4: Simplify right side
    4,505.47x = 97,772,775.75
  5. Step 5: Solve for x
    x = 97,772,775.75/4,505.47
  6. Step 6: Final answer
    x = 21,700.92

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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.