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Finding the Third Proportional to 6,547.63 and 10,032.53

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Solution

The third proportional to 6,547.63 and 10,032.53 is: 15,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.63 : 10,032.53 = 10,032.53 : x
  2. Step 2: Convert to fraction form
    6,547.63/10,032.53 = 10,032.53/x
  3. Step 3: Cross multiply
    6,547.63x = 10,032.53 × 10,032.53
  4. Step 4: Simplify right side
    6,547.63x = 100,651,663.69
  5. Step 5: Solve for x
    x = 100,651,663.69/6,547.63
  6. Step 6: Final answer
    x = 15,372.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.