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Finding the Third Proportional to 970.88 and 2,130.47

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Solution

The third proportional to 970.88 and 2,130.47 is: 4,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 2,130.47 = 2,130.47 : x
  2. Step 2: Convert to fraction form
    970.88/2,130.47 = 2,130.47/x
  3. Step 3: Cross multiply
    970.88x = 2,130.47 × 2,130.47
  4. Step 4: Simplify right side
    970.88x = 4,538,897.09
  5. Step 5: Solve for x
    x = 4,538,897.09/970.88
  6. Step 6: Final answer
    x = 4,675.06

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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.