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Finding the Third Proportional to 7,547.63 and 15,783.75

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Solution

The third proportional to 7,547.63 and 15,783.75 is: 33,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.63 : 15,783.75 = 15,783.75 : x
  2. Step 2: Convert to fraction form
    7,547.63/15,783.75 = 15,783.75/x
  3. Step 3: Cross multiply
    7,547.63x = 15,783.75 × 15,783.75
  4. Step 4: Simplify right side
    7,547.63x = 249,126,764.06
  5. Step 5: Solve for x
    x = 249,126,764.06/7,547.63
  6. Step 6: Final answer
    x = 33,007.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.